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6. 3 - 6n = -(n - 3)

Question

  1. 3 - 6n = -(n - 3)

Explanation:

Step1: Expand the right side

Using the distributive property $-(a - b)=-a + b$, we get $3-6n=-n + 3$.

Step2: Add $6n$ to both sides

$3-6n+6n=-n + 3+6n$, which simplifies to $3 = 5n+3$.

Step3: Subtract 3 from both sides

$3 - 3=5n+3 - 3$, so $0 = 5n$.

Step4: Divide by 5

$\frac{0}{5}=\frac{5n}{5}$, giving $n = 0$.

Answer:

$n = 0$