12-(n+9)=-2(n-9)-4

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Solution for 12-(n+9)=-2(n-9)-4 equation:


Simplifying
12 + -1(n + 9) = -2(n + -9) + -4

Reorder the terms:
12 + -1(9 + n) = -2(n + -9) + -4
12 + (9 * -1 + n * -1) = -2(n + -9) + -4
12 + (-9 + -1n) = -2(n + -9) + -4

Combine like terms: 12 + -9 = 3
3 + -1n = -2(n + -9) + -4

Reorder the terms:
3 + -1n = -2(-9 + n) + -4
3 + -1n = (-9 * -2 + n * -2) + -4
3 + -1n = (18 + -2n) + -4

Reorder the terms:
3 + -1n = 18 + -4 + -2n

Combine like terms: 18 + -4 = 14
3 + -1n = 14 + -2n

Solving
3 + -1n = 14 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
3 + -1n + 2n = 14 + -2n + 2n

Combine like terms: -1n + 2n = 1n
3 + 1n = 14 + -2n + 2n

Combine like terms: -2n + 2n = 0
3 + 1n = 14 + 0
3 + 1n = 14

Add '-3' to each side of the equation.
3 + -3 + 1n = 14 + -3

Combine like terms: 3 + -3 = 0
0 + 1n = 14 + -3
1n = 14 + -3

Combine like terms: 14 + -3 = 11
1n = 11

Divide each side by '1'.
n = 11

Simplifying
n = 11

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