-7(-6+n)+6(-n+2)=-37

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Solution for -7(-6+n)+6(-n+2)=-37 equation:


Simplifying
-7(-6 + n) + 6(-1n + 2) = -37
(-6 * -7 + n * -7) + 6(-1n + 2) = -37
(42 + -7n) + 6(-1n + 2) = -37

Reorder the terms:
42 + -7n + 6(2 + -1n) = -37
42 + -7n + (2 * 6 + -1n * 6) = -37
42 + -7n + (12 + -6n) = -37

Reorder the terms:
42 + 12 + -7n + -6n = -37

Combine like terms: 42 + 12 = 54
54 + -7n + -6n = -37

Combine like terms: -7n + -6n = -13n
54 + -13n = -37

Solving
54 + -13n = -37

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 + -13n = -37 + -54

Combine like terms: 54 + -54 = 0
0 + -13n = -37 + -54
-13n = -37 + -54

Combine like terms: -37 + -54 = -91
-13n = -91

Divide each side by '-13'.
n = 7

Simplifying
n = 7

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