Questions: 7n+10=-7n+2

7n+10=-7n+2
Transcript text: $7n+10=-7n+2$
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Solution

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Solution Steps

Step 1: Move all terms involving \( n \) to one side

Add \( 7n \) to both sides of the equation to eliminate \( -7n \) on the right side: \[ 7n + 10 + 7n = -7n + 2 + 7n \] Simplify: \[ 14n + 10 = 2 \]

Step 2: Move constant terms to the other side

Subtract \( 10 \) from both sides to isolate the term with \( n \): \[ 14n + 10 - 10 = 2 - 10 \] Simplify: \[ 14n = -8 \]

Step 3: Solve for \( n \)

Divide both sides by \( 14 \) to solve for \( n \): \[ \frac{14n}{14} = \frac{-8}{14} \] Simplify: \[ n = -\frac{4}{7} \]

Final Answer

\(\boxed{n = -\frac{4}{7}}\)

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