-5(N+12)-7=-6+2(8-8N)

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Solution for -5(N+12)-7=-6+2(8-8N) equation:


Simplifying
-5(N + 12) + -7 = -6 + 2(8 + -8N)

Reorder the terms:
-5(12 + N) + -7 = -6 + 2(8 + -8N)
(12 * -5 + N * -5) + -7 = -6 + 2(8 + -8N)
(-60 + -5N) + -7 = -6 + 2(8 + -8N)

Reorder the terms:
-60 + -7 + -5N = -6 + 2(8 + -8N)

Combine like terms: -60 + -7 = -67
-67 + -5N = -6 + 2(8 + -8N)
-67 + -5N = -6 + (8 * 2 + -8N * 2)
-67 + -5N = -6 + (16 + -16N)

Combine like terms: -6 + 16 = 10
-67 + -5N = 10 + -16N

Solving
-67 + -5N = 10 + -16N

Solving for variable 'N'.

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

Add '16N' to each side of the equation.
-67 + -5N + 16N = 10 + -16N + 16N

Combine like terms: -5N + 16N = 11N
-67 + 11N = 10 + -16N + 16N

Combine like terms: -16N + 16N = 0
-67 + 11N = 10 + 0
-67 + 11N = 10

Add '67' to each side of the equation.
-67 + 67 + 11N = 10 + 67

Combine like terms: -67 + 67 = 0
0 + 11N = 10 + 67
11N = 10 + 67

Combine like terms: 10 + 67 = 77
11N = 77

Divide each side by '11'.
N = 7

Simplifying
N = 7

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