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

Solution for 1+n+n-1=-9(n+12)+2(n-9) equation:

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

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

Combine like terms: 1 + -1 = 0
0 + n + n = -9(n + 12) + 2(n + -9)
n + n = -9(n + 12) + 2(n + -9)

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

Reorder the terms:
2n = -9(12 + n) + 2(n + -9)
2n = (12 * -9 + n * -9) + 2(n + -9)
2n = (-108 + -9n) + 2(n + -9)

Reorder the terms:
2n = -108 + -9n + 2(-9 + n)
2n = -108 + -9n + (-9 * 2 + n * 2)
2n = -108 + -9n + (-18 + 2n)

Reorder the terms:
2n = -108 + -18 + -9n + 2n

Combine like terms: -108 + -18 = -126
2n = -126 + -9n + 2n

Combine like terms: -9n + 2n = -7n
2n = -126 + -7n

Solving
2n = -126 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
2n + 7n = -126 + -7n + 7n

Combine like terms: 2n + 7n = 9n
9n = -126 + -7n + 7n

Combine like terms: -7n + 7n = 0
9n = -126 + 0
9n = -126

Divide each side by '9'.
n = -14

Simplifying
n = -14