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4. -20 + 6n = -8 + 3n

Question

  1. -20 + 6n = -8 + 3n

Explanation:

Step1: Move variable terms to one - side

Subtract \(3n\) from both sides: \(-20 + 6n-3n=-8 + 3n-3n\), which simplifies to \(-20 + 3n=-8\).

Step2: Move constant terms to the other - side

Add 20 to both sides: \(-20+20 + 3n=-8 + 20\), which simplifies to \(3n = 12\).

Step3: Solve for \(n\)

Divide both sides by 3: \(\frac{3n}{3}=\frac{12}{3}\), so \(n = 4\).

Answer:

\(n = 4\)