[9(b+5)-18]+[3(b-3)+1]=

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Solution for [9(b+5)-18]+[3(b-3)+1]= equation:


Simplifying
[9(b + 5) + -18] + [3(b + -3) + 1] = 0

Reorder the terms:
[9(5 + b) + -18] + [3(b + -3) + 1] = 0
[(5 * 9 + b * 9) + -18] + [3(b + -3) + 1] = 0
[(45 + 9b) + -18] + [3(b + -3) + 1] = 0

Reorder the terms:
[45 + -18 + 9b] + [3(b + -3) + 1] = 0

Combine like terms: 45 + -18 = 27
[27 + 9b] + [3(b + -3) + 1] = 0

Remove brackets around [27 + 9b]
27 + 9b + [3(b + -3) + 1] = 0

Reorder the terms:
27 + 9b + [3(-3 + b) + 1] = 0
27 + 9b + [(-3 * 3 + b * 3) + 1] = 0
27 + 9b + [(-9 + 3b) + 1] = 0

Reorder the terms:
27 + 9b + [-9 + 1 + 3b] = 0

Combine like terms: -9 + 1 = -8
27 + 9b + [-8 + 3b] = 0

Remove brackets around [-8 + 3b]
27 + 9b + -8 + 3b = 0

Reorder the terms:
27 + -8 + 9b + 3b = 0

Combine like terms: 27 + -8 = 19
19 + 9b + 3b = 0

Combine like terms: 9b + 3b = 12b
19 + 12b = 0

Solving
19 + 12b = 0

Solving for variable 'b'.

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

Add '-19' to each side of the equation.
19 + -19 + 12b = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 12b = 0 + -19
12b = 0 + -19

Combine like terms: 0 + -19 = -19
12b = -19

Divide each side by '12'.
b = -1.583333333

Simplifying
b = -1.583333333

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