[9(n+5)-6]+[3(n-3)+4]=

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Solution for [9(n+5)-6]+[3(n-3)+4]= equation:


Simplifying
[9(n + 5) + -6] + [3(n + -3) + 4] = 0

Reorder the terms:
[9(5 + n) + -6] + [3(n + -3) + 4] = 0
[(5 * 9 + n * 9) + -6] + [3(n + -3) + 4] = 0
[(45 + 9n) + -6] + [3(n + -3) + 4] = 0

Reorder the terms:
[45 + -6 + 9n] + [3(n + -3) + 4] = 0

Combine like terms: 45 + -6 = 39
[39 + 9n] + [3(n + -3) + 4] = 0

Remove brackets around [39 + 9n]
39 + 9n + [3(n + -3) + 4] = 0

Reorder the terms:
39 + 9n + [3(-3 + n) + 4] = 0
39 + 9n + [(-3 * 3 + n * 3) + 4] = 0
39 + 9n + [(-9 + 3n) + 4] = 0

Reorder the terms:
39 + 9n + [-9 + 4 + 3n] = 0

Combine like terms: -9 + 4 = -5
39 + 9n + [-5 + 3n] = 0

Remove brackets around [-5 + 3n]
39 + 9n + -5 + 3n = 0

Reorder the terms:
39 + -5 + 9n + 3n = 0

Combine like terms: 39 + -5 = 34
34 + 9n + 3n = 0

Combine like terms: 9n + 3n = 12n
34 + 12n = 0

Solving
34 + 12n = 0

Solving for variable 'n'.

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

Add '-34' to each side of the equation.
34 + -34 + 12n = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 12n = 0 + -34
12n = 0 + -34

Combine like terms: 0 + -34 = -34
12n = -34

Divide each side by '12'.
n = -2.833333333

Simplifying
n = -2.833333333

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