\[ 7(2q + 8) + 15q = 105 \] - inBeat
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
Image Gallery
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:
📰 dragon ball series in order 📰 edge of fate 📰 berry avenue outfit codes 📰 You Wont Believe How Bright The Air Max 95 Neon Shootsshock Yourclients Style Now 1297404 📰 Unlock The Secrets Of Texas Holdem The Cheat Sheet Thats Taking Online Pokies By Storm 1867929 📰 Dont Miss The Market Openheres The Exact Nasdaq Opening Time Every Trader Must Know 6685053 📰 The Ultimate Breakdown How Much Do Weddings Cost Prepare To Be Shocked By Hidden Fees 1901065 📰 No Internet Still Need Visio 2019 Grab The Offline Installer Now 5942247 📰 Where To Stay In Rome 6146730 📰 Washington Dc Protest 4659006 📰 Best Golf Drivers 2025 5051952 📰 Cate School 5732319 📰 Becky Weiss 6705498 📰 Winning Powerball Numbers Last Night 1349335 📰 Serum Free Download 4010191 📰 Cast Of The Perfect Setting 4143724 📰 C Baldwin Hotel Houston 5422798 📰 Firestick 9974221Final 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)
