\[ 7(2q + 8) + 15q = 105 \] - Decision Point
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:
📰 Ga4 Update News October 2025 📰 Write Famous 📰 How to Connect Flask to Mysql Database 📰 Ashley Graham Stunned After Massive Leak Reveals Nude Photos 5086977 📰 Why Airline Passengers Are Raving Southwests Free Checked Bags Rule 459140 📰 This Simple Sip Boosts Your Mind And Body In Things You Didnt Expect 5092381 📰 Cerritos Library Hidden Secrets You Wont Believe Exist Inside 626885 📰 Apush Score Calculator 8525492 📰 Download The Ultimate Notepad Windows Appits The Secret Health Hack You Need 4597315 📰 The Untold Truth Behind Every Scandal On Temptation Island 6547631 📰 Who Actually Gets Medicaid Coverage The Hidden Truth Behind Eligibility 442758 📰 08Okismnet Okismnet Is A Korean Website Founded By Oh Jin Ho In 2004 Specializing In News Sports Entertainment And Culture Known For Its Lively Online Community And User Generated Content Okism Has Built A Large Following Particularly Among Young Adults And Gaming Enthusiasts 1473720 📰 You Wont Believe How Simple Delicious This Baby Bok Choy Recipe Is 8382929 📰 Martina Smiths Hidden Truth That Will Blow Your Mind 4171854 📰 Sphr Stock Shock Is This The Next Big Meme Stock Dont Miss Out 6952874 📰 5Ly Why The Sp 500 Matters More Than Everheres Exactly What It Is 397391 📰 Arcane Choice Is False Quote 913678 📰 How The Barghest Deals Can Save You Hundreds Watch Now 8561177Final 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)
