3n + 4(3.60 - 2n) = 7.80 - Parker Core Knowledge
Solving the Equation: 3n + 4(3.60 - 2n) = 7.80
A Step-by-Step Guide to Solving Linear Equations
Solving the Equation: 3n + 4(3.60 - 2n) = 7.80
A Step-by-Step Guide to Solving Linear Equations
When faced with equations in algebra, clarity and systematic problem-solving are key. Today, we’ll break down how to solve the equation:
3n + 4(3.60 - 2n) = 7.80, step-by-step, to help you understand the process of simplifying and isolating variables.
Understanding the Context
Understanding the Equation
The equation is:
3n + 4(3.60 - 2n) = 7.80
This involves distributive property and combining like terms — essential skills in solving linear equations.
Image Gallery
Key Insights
Step 1: Distribute the 4
Distribute 4 across the terms inside the parentheses:
> 3n + 4 × 3.60 − 4 × 2n = 7.80
3n + 14.40 − 8n = 7.80
🔗 Related Articles You Might Like:
📰 What's the Difference Between Medicare and Medicaid 📰 What's the Difference in Medicaid and Medicare 📰 What's the Dow Jones at 📰 Business Class Comfort At Half The Price The Fabric Sofa You Didnt Know You Needed 3472321 📰 Doris Roberts Movies And Tv Shows 5542306 📰 Definition Equivalent Expressions 1406751 📰 Heartland Bank 9602914 📰 Secret Pizza Cosmopolitan 2993238 📰 H Focusing On Group Behavior And Social Norms 1390597 📰 You Wont Believe What Happens When You Shuffle Anime Genresshocking Twists Inside 8942112 📰 Red Light On Router 8512556 📰 Aqua Kingdom Hearts 1745363 📰 Youtube Video Downloadr 8724530 📰 How To Logout Iphone Mail 1916138 📰 San Antonio Spurs Vs Boston Celtics Match Player Stats 2542255 📰 Unlock Your Dental Identity Npi Lookup Tools Every Dentist Should Use 5962668 📰 Keith David Movies And Tv Shows 968784 📰 Sacromere 1137819Final Thoughts
Step 2: Combine Like Terms
Combine the terms with n:
> (3n − 8n) + 14.40 = 7.80
−5n + 14.40 = 7.80
Step 3: Isolate the Variable Term
Subtract 14.40 from both sides:
> −5n = 7.80 − 14.40
−5n = −6.60
Step 4: Solve for n
Divide both sides by −5:
