Now subtract: (5a + b) − (3a + b) = 0.7 − 0.6 → 2a = 0.1 → a = 0.05

Solving (5a + b) − (3a + b) = 0.7 − 0.6: Step-by-Step Explanation Behind 2a = 0.1 → a = 0.05

Understanding basic algebra can transform how you solve equations—especially when simplifying expressions with variables. One clear example is solving the equation:
(5a + b) − (3a + b) = 0.7 − 0.6
But why equal 0.1 and how does this lead to a = 0.05? Let’s break it down step-by-step.

Understanding the Context

Step 1: Simplify the Left Side of the Equation

Start by simplifying the left-hand side:
(5a + b) − (3a + b)
Distribute the negative sign:
= 5a + b − 3a − b
Now combine like terms:
(5a − 3a) + (b − b) = 2a + 0 = 2a

So:
(5a + b) − (3a + b) = 2a

Step 2: Simplify the Right Side

Evaluate the right-hand side:
0.7 − 0.6 = 0.1

Now subtract: (5a + b) − (3a + b) = 0.7 − 0.6 → 2a = 0.1 → a = 0.05

Key Insights

Now the equation becomes:
2a = 0.1

Step 3: Isolate Variable a

To solve for a, divide both sides by 2:
2a ÷ 2 = 0.1 ÷ 2
→ a = 0.05

Why Does This Work?

The key simplifications come from removing the parentheses and canceling the +b terms. Subtracting identical terms (like b − b) eliminates them, simplifying expressions and clearly revealing the variable relationship. The arithmetic shows how consistent terms on both sides allow clean algebraic manipulation.

🔗 Related Articles You Might Like:

📰 Shocking Bridal Gown Prices That’ll Make You Buy Everything Else 📰 Affordable Bridal Gown Dreams Worth Every Penny—Was It Really That Easy? 📰 How One Bride Spent Less Than a Weekend to Month on Her Perfect Gown 📰 Gabe Newells Net Worth Explosion How He Built A Gaming Empire Worth Billions 📰 Gabe Newells Unbelievable Net Worth You Wont Believe How Much This Gaming Titan Is Worth 📰 Gabion Wall Secrets Transform Your Yard Into A Fortified Stylish Escape Simple Tips Inside 📰 Gabite Evolution Level Revealedthis Game Changer Will Blow Your Mind 📰 Gabite Evolve Level Hacks Revealedlevel Up Instantly And Dominate The Game 📰 Gabite Level Evolve Level Up Like Never Beforeheres The Secret 📰 Gabite Uncovered The Surprising Hacks You Need To Try Now 📰 Gabriel Luna Movies Tv Shows The Hidden Secrets That Made Him A Star 📰 Gabriel Luna Revealed The Shocking Reasons Behind His Breakout Movies Tv Shows 📰 Gabriel Lunas Hidden Movie Magic The Untold Stories Behind His Biggest Tv Hits 📰 Gabriel Stokes Exposed The Shocking Truth Thatre Changing Fan Perspectives 📰 Gabriel Stokes Reveals The Secret That Fans Were Desperate To Know 📰 Gabriel Stokes Shocks The World You Wont Believe What He Revealed 📰 Gacha Gaming Explosion Discover The Hidden Strategies Every Pro Uses To Build Epic Teams Today 📰 Gacha Gaming Secrets How Thousands Of Players Win Legendary Prizes Every Day Shocking Tips Inside

Final Thoughts

Real-World Application

Solving equations like this helps in many everyday and technical contexts—from budgeting and physics to programming and finance. Mastering this step-by-step method strengthens your problem-solving foundation.

Summary

Given:
(5a + b) − (3a + b) = 0.7 − 0.6
→ 2a = 0.1
→ a = 0.05

This simple subtraction and cancellation process demonstrates how algebra decodes linear relationships—making it easier to find unknowns like a safely and confidently.

If you’re learning algebra or want to sharpen your skills, practice combining like terms and simplifying both sides carefully. With these techniques, equations like this become quick and straightforward!