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

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


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

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

Reorder the terms:
-12 + 3n = 28 + 4n + 7n

Combine like terms: 4n + 7n = 11n
-12 + 3n = 28 + 11n

Solving
-12 + 3n = 28 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
-12 + 3n + -11n = 28 + 11n + -11n

Combine like terms: 3n + -11n = -8n
-12 + -8n = 28 + 11n + -11n

Combine like terms: 11n + -11n = 0
-12 + -8n = 28 + 0
-12 + -8n = 28

Add '12' to each side of the equation.
-12 + 12 + -8n = 28 + 12

Combine like terms: -12 + 12 = 0
0 + -8n = 28 + 12
-8n = 28 + 12

Combine like terms: 28 + 12 = 40
-8n = 40

Divide each side by '-8'.
n = -5

Simplifying
n = -5

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