\[ 7(2q + 8) + 15q = 105 \] - Aurero
Solving 7(2q + 8) + 15q = 105: Step-by-Step Guide
Solving 7(2q + 8) + 15q = 105: Step-by-Step Guide
Understanding how to solve equations like 7(2q + 8) + 15q = 105 is essential for mastering algebra. Whether you're a student learning basic linear equations or looking to sharpen your problem-solving skills, this step-by-step breakdown will help you confidently solve for q.
What is the Equation?
Understanding the Context
We start with the equation:
7(2q + 8) + 15q = 105
This equation contains parentheses, variables on both sides, and constants. We’ll simplify and isolate q using fundamental algebraic operations.
Step 1: Expand the Parentheses
Key Insights
Apply the distributive property to expand 7(2q + 8):
7 × 2q = 14q
7 × 8 = 56
So:
14q + 56 + 15q = 105
Step 2: Combine Like Terms
Combine the q terms:
14q + 15q = 29q
🔗 Related Articles You Might Like:
📰 BMW E28 Secrets Revealed: Why This Iconic M5 Is Still the Fastest Secret Hunted! 📰 Is This the Ultimate BMW E28 Upgrade? Fuel, Speed, & Luxury in One Sweep! 📰 The 1980s Dream Car That’s Living Upgrade Reality: BMW E28 Shines Like Never Before! 📰 The Undisputed Movie Thatll Leave You Speechless Heres Why 📰 The Unexpected Arrival Of Vader Wwe Discover What Shocked The Wwe Universe 📰 The Union Flag Civil War Exposed Secrets Never Told About The Battle For Independence 📰 The Unmissable Uninterruptible Power Supply Logo You Need To Know About Now 📰 The Unofficial Masterpiece About Trusting The Lord Started Pulling Me In 📰 The Unohana Phenomenon Why This Hidden Gem Is Taking The World By Storm 📰 The Unseen Force Behind Fixing Your Favorite Actors Voicesbuzzing Now 📰 The Unseen Power Of Victor Wolverines Sabretooth Formfeatures Every Gamer Should See 📰 The Unsung Hero Of Dc A Vigilante You Never Knew Existed 📰 The Untitled Mario Bros Movie Follow Up Is Officially Revealedget Ready To Jump 📰 The Untold Attraction Why Venezuelan Women Are Revolutionizing Global Beauty Standards 📰 The Untold Chronicles Of Uncle Grandpa Series That Made Millions Go Wild 📰 The Untold Legend Finally Revealedunderworlds Historic 5Th Moviebig Spoiler Alert 📰 The Untold Legend Of Ur Dragon Why Millions Are Obsessed Right Now 📰 The Untold Legends Warcraft The Beginning Cast You Didnt Know Was A Secret Geneius ChoiceFinal Thoughts
Now the equation is:
29q + 56 = 105
Step 3: Isolate the Variable Term
Subtract 56 from both sides to isolate the term with q:
29q + 56 - 56 = 105 - 56
29q = 49
Step 4: Solve for q
Divide both sides by 29:
q = 49 ÷ 29
q = 49/29
Final Answer
✅ q = 49/29
or approximately q ≈ 1.69 (when rounded to two decimal places)