12+2n=9(n-7)-2

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Solution for 12+2n=9(n-7)-2 equation:


Simplifying
12 + 2n = 9(n + -7) + -2

Reorder the terms:
12 + 2n = 9(-7 + n) + -2
12 + 2n = (-7 * 9 + n * 9) + -2
12 + 2n = (-63 + 9n) + -2

Reorder the terms:
12 + 2n = -63 + -2 + 9n

Combine like terms: -63 + -2 = -65
12 + 2n = -65 + 9n

Solving
12 + 2n = -65 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
12 + 2n + -9n = -65 + 9n + -9n

Combine like terms: 2n + -9n = -7n
12 + -7n = -65 + 9n + -9n

Combine like terms: 9n + -9n = 0
12 + -7n = -65 + 0
12 + -7n = -65

Add '-12' to each side of the equation.
12 + -12 + -7n = -65 + -12

Combine like terms: 12 + -12 = 0
0 + -7n = -65 + -12
-7n = -65 + -12

Combine like terms: -65 + -12 = -77
-7n = -77

Divide each side by '-7'.
n = 11

Simplifying
n = 11

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