$ (37a + 7b + c) - (19a + 5b + c) = -12 - 6 $ - 500apps
Simplifying the Equation: $ (37a + 7b + c) - (19a + 5b + c) = -12 - 6 $
Simplifying the Equation: $ (37a + 7b + c) - (19a + 5b + c) = -12 - 6 $
Understanding algebraic expressions can sometimes feel complex, but breaking down equations step-by-step makes them far more manageable. Today, we’ll explore the equation $ (37a + 7b + c) - (19a + 5b + c) = -12 - 6 $ and simplify it intelligently.
Understanding the Context
Step 1: Rewrite the subtraction as distribution
The left-hand side involves subtraction of two binomials. Distribute the negative sign across the second group:
$$
(37a + 7b + c) - 19a - 5b - c
$$
Now combine like terms:
Key Insights
- For $ a $: $ 37a - 19a = 18a $
- For $ b $: $ 7b - 5b = 2b $
- For $ c $: $ c - c = 0 $
So the simplified left side becomes:
$$
18a + 2b
$$
Step 2: Simplify the right-hand side
The right-hand side is a constant expression:
🔗 Related Articles You Might Like:
📰 Whorehub Secrets: Is This Extreme Content Causing the Next Viral Wave? Find Out now! 📰 Shocked You Didn’t Know *Who Plays Walt on Breaking Bad*—Area 52 Secrets Exposed! 🔥 📰 "The Ultimate REVEAL: Who Truly Portrays Walt on Breaking Bad? Don’t Miss This! 🕵️♂️ 📰 Shocking Truth Behind The Rogue One Castyoull Wish You Watched The Trailers Instead 📰 Shocking Truth Chinese Pug Life Expectancy Will Surprise Youhow Long Do These Cuddle Wolves Really Live 📰 Shocking Truth Exact Cinder Block Dimensions For Perfect Diy Results 📰 Shocking Truth How Caulifla Compares To Cauliflowerspoiler Its Way Better For Your Health 📰 Shocking Truth How Plastic Chairs Are Destroying Your Home Decor 📰 Shocking Truth Revealed The Must See Cast Members Who Made Homeland Unforgettable 📰 Shocking Truth Revealed This Chicken Jockey Outshines Every Minecraft Villain 📰 Shocking Truth The Choco Drizzle Cookie Is The Secret Weapon For Defeating Cravings 📰 Shocking Truth These Chancletas Are Taking Over The Beach Trendshop Now 📰 Shocking Truth These Chrome Heart Glasses Are Changing Stylesyou Have To Try Them 📰 Shocking Truth This Choker Necklace Is Everyones Must Have Style Secret 📰 Shocking Truths About Cheech Chong That Will Blow Your Mind Watch Now 📰 Shocking Truths About The Characters Who Changed The World In Avatar 📰 Shocking Truths About Winx Club Characters Youve Been Misled Aboutrevealed 📰 Shocking Twist Chicken Carbonara Stroke Outs On Every Taste TestFinal Thoughts
$$
-12 - 6 = -18
$$
So now the equation looks like:
$$
18a + 2b = -18
$$
Step 3: Simplify further
We can factor the left-hand side by pulling out the common factor 2:
$$
2(9a + b) = -18
$$
Divide both sides by 2:
$$
9a + b = -9
$$
What does the simplified equation mean?
We’ve transformed:
$$
(37a + 7b + c) - (19a + 5b + c) = -12 - 6
$$
into:
$$
9a + b = -9
$$
