[9(n+5)-16]-[2(n-4)+2]=

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Solution for [9(n+5)-16]-[2(n-4)+2]= equation:


Simplifying
[9(n + 5) + -16] + -1[2(n + -4) + 2] = 0

Reorder the terms:
[9(5 + n) + -16] + -1[2(n + -4) + 2] = 0
[(5 * 9 + n * 9) + -16] + -1[2(n + -4) + 2] = 0
[(45 + 9n) + -16] + -1[2(n + -4) + 2] = 0

Reorder the terms:
[45 + -16 + 9n] + -1[2(n + -4) + 2] = 0

Combine like terms: 45 + -16 = 29
[29 + 9n] + -1[2(n + -4) + 2] = 0

Remove brackets around [29 + 9n]
29 + 9n + -1[2(n + -4) + 2] = 0

Reorder the terms:
29 + 9n + -1[2(-4 + n) + 2] = 0
29 + 9n + -1[(-4 * 2 + n * 2) + 2] = 0
29 + 9n + -1[(-8 + 2n) + 2] = 0

Reorder the terms:
29 + 9n + -1[-8 + 2 + 2n] = 0

Combine like terms: -8 + 2 = -6
29 + 9n + -1[-6 + 2n] = 0
29 + 9n + [-6 * -1 + 2n * -1] = 0
29 + 9n + [6 + -2n] = 0

Reorder the terms:
29 + 6 + 9n + -2n = 0

Combine like terms: 29 + 6 = 35
35 + 9n + -2n = 0

Combine like terms: 9n + -2n = 7n
35 + 7n = 0

Solving
35 + 7n = 0

Solving for variable 'n'.

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

Add '-35' to each side of the equation.
35 + -35 + 7n = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 7n = 0 + -35
7n = 0 + -35

Combine like terms: 0 + -35 = -35
7n = -35

Divide each side by '7'.
n = -5

Simplifying
n = -5

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