2(n+6)-7=-11-6n

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Solution for 2(n+6)-7=-11-6n equation:


Simplifying
2(n + 6) + -7 = -11 + -6n

Reorder the terms:
2(6 + n) + -7 = -11 + -6n
(6 * 2 + n * 2) + -7 = -11 + -6n
(12 + 2n) + -7 = -11 + -6n

Reorder the terms:
12 + -7 + 2n = -11 + -6n

Combine like terms: 12 + -7 = 5
5 + 2n = -11 + -6n

Solving
5 + 2n = -11 + -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.
5 + 2n + 6n = -11 + -6n + 6n

Combine like terms: 2n + 6n = 8n
5 + 8n = -11 + -6n + 6n

Combine like terms: -6n + 6n = 0
5 + 8n = -11 + 0
5 + 8n = -11

Add '-5' to each side of the equation.
5 + -5 + 8n = -11 + -5

Combine like terms: 5 + -5 = 0
0 + 8n = -11 + -5
8n = -11 + -5

Combine like terms: -11 + -5 = -16
8n = -16

Divide each side by '8'.
n = -2

Simplifying
n = -2

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