2(n+4)-(-6n-8)=7n

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Solution for 2(n+4)-(-6n-8)=7n equation: 


Simplifying
2(n + 4) + -1(-6n + -8) = 7n

Reorder the terms:
2(4 + n) + -1(-6n + -8) = 7n
(4 * 2 + n * 2) + -1(-6n + -8) = 7n
(8 + 2n) + -1(-6n + -8) = 7n

Reorder the terms:
8 + 2n + -1(-8 + -6n) = 7n
8 + 2n + (-8 * -1 + -6n * -1) = 7n
8 + 2n + (8 + 6n) = 7n

Reorder the terms:
8 + 8 + 2n + 6n = 7n

Combine like terms: 8 + 8 = 16
16 + 2n + 6n = 7n

Combine like terms: 2n + 6n = 8n
16 + 8n = 7n

Solving
16 + 8n = 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
16 + 8n + -7n = 7n + -7n

Combine like terms: 8n + -7n = 1n
16 + 1n = 7n + -7n

Combine like terms: 7n + -7n = 0
16 + 1n = 0

Add '-16' to each side of the equation.
16 + -16 + 1n = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 1n = 0 + -16
1n = 0 + -16

Combine like terms: 0 + -16 = -16
1n = -16

Divide each side by '1'.
n = -16

Simplifying
n = -16

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