3n + 4(3.60 - 2n) = 7.80

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.

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

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Final 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: