9+7n-2=8n+14-2n

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Solution for 9+7n-2=8n+14-2n equation:


Simplifying
9 + 7n + -2 = 8n + 14 + -2n

Reorder the terms:
9 + -2 + 7n = 8n + 14 + -2n

Combine like terms: 9 + -2 = 7
7 + 7n = 8n + 14 + -2n

Reorder the terms:
7 + 7n = 14 + 8n + -2n

Combine like terms: 8n + -2n = 6n
7 + 7n = 14 + 6n

Solving
7 + 7n = 14 + 6n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-6n' to each side of the equation.
7 + 7n + -6n = 14 + 6n + -6n

Combine like terms: 7n + -6n = 1n
7 + 1n = 14 + 6n + -6n

Combine like terms: 6n + -6n = 0
7 + 1n = 14 + 0
7 + 1n = 14

Add '-7' to each side of the equation.
7 + -7 + 1n = 14 + -7

Combine like terms: 7 + -7 = 0
0 + 1n = 14 + -7
1n = 14 + -7

Combine like terms: 14 + -7 = 7
1n = 7

Divide each side by '1'.
n = 7

Simplifying
n = 7

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