-7(n+4)+32=-3n-12

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Solution for -7(n+4)+32=-3n-12 equation: 


Simplifying
-7(n + 4) + 32 = -3n + -12

Reorder the terms:
-7(4 + n) + 32 = -3n + -12
(4 * -7 + n * -7) + 32 = -3n + -12
(-28 + -7n) + 32 = -3n + -12

Reorder the terms:
-28 + 32 + -7n = -3n + -12

Combine like terms: -28 + 32 = 4
4 + -7n = -3n + -12

Reorder the terms:
4 + -7n = -12 + -3n

Solving
4 + -7n = -12 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
4 + -7n + 3n = -12 + -3n + 3n

Combine like terms: -7n + 3n = -4n
4 + -4n = -12 + -3n + 3n

Combine like terms: -3n + 3n = 0
4 + -4n = -12 + 0
4 + -4n = -12

Add '-4' to each side of the equation.
4 + -4 + -4n = -12 + -4

Combine like terms: 4 + -4 = 0
0 + -4n = -12 + -4
-4n = -12 + -4

Combine like terms: -12 + -4 = -16
-4n = -16

Divide each side by '-4'.
n = 4

Simplifying
n = 4

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