[9(n+4)-15]-[3(n-3)+1]=

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Solution for [9(n+4)-15]-[3(n-3)+1]= equation:


Simplifying
[9(n + 4) + -15] + -1[3(n + -3) + 1] = 0

Reorder the terms:
[9(4 + n) + -15] + -1[3(n + -3) + 1] = 0
[(4 * 9 + n * 9) + -15] + -1[3(n + -3) + 1] = 0
[(36 + 9n) + -15] + -1[3(n + -3) + 1] = 0

Reorder the terms:
[36 + -15 + 9n] + -1[3(n + -3) + 1] = 0

Combine like terms: 36 + -15 = 21
[21 + 9n] + -1[3(n + -3) + 1] = 0

Remove brackets around [21 + 9n]
21 + 9n + -1[3(n + -3) + 1] = 0

Reorder the terms:
21 + 9n + -1[3(-3 + n) + 1] = 0
21 + 9n + -1[(-3 * 3 + n * 3) + 1] = 0
21 + 9n + -1[(-9 + 3n) + 1] = 0

Reorder the terms:
21 + 9n + -1[-9 + 1 + 3n] = 0

Combine like terms: -9 + 1 = -8
21 + 9n + -1[-8 + 3n] = 0
21 + 9n + [-8 * -1 + 3n * -1] = 0
21 + 9n + [8 + -3n] = 0

Reorder the terms:
21 + 8 + 9n + -3n = 0

Combine like terms: 21 + 8 = 29
29 + 9n + -3n = 0

Combine like terms: 9n + -3n = 6n
29 + 6n = 0

Solving
29 + 6n = 0

Solving for variable 'n'.

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

Add '-29' to each side of the equation.
29 + -29 + 6n = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 6n = 0 + -29
6n = 0 + -29

Combine like terms: 0 + -29 = -29
6n = -29

Divide each side by '6'.
n = -4.833333333

Simplifying
n = -4.833333333

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