5+7(6n+7)=-156

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Solution for 5+7(6n+7)=-156 equation:


Simplifying
5 + 7(6n + 7) = -156

Reorder the terms:
5 + 7(7 + 6n) = -156
5 + (7 * 7 + 6n * 7) = -156
5 + (49 + 42n) = -156

Combine like terms: 5 + 49 = 54
54 + 42n = -156

Solving
54 + 42n = -156

Solving for variable 'n'.

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

Add '-54' to each side of the equation.
54 + -54 + 42n = -156 + -54

Combine like terms: 54 + -54 = 0
0 + 42n = -156 + -54
42n = -156 + -54

Combine like terms: -156 + -54 = -210
42n = -210

Divide each side by '42'.
n = -5

Simplifying
n = -5

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