15(b+2)-15=2b-9

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Solution for 15(b+2)-15=2b-9 equation: 


Simplifying
15(b + 2) + -15 = 2b + -9

Reorder the terms:
15(2 + b) + -15 = 2b + -9
(2 * 15 + b * 15) + -15 = 2b + -9
(30 + 15b) + -15 = 2b + -9

Reorder the terms:
30 + -15 + 15b = 2b + -9

Combine like terms: 30 + -15 = 15
15 + 15b = 2b + -9

Reorder the terms:
15 + 15b = -9 + 2b

Solving
15 + 15b = -9 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
15 + 15b + -2b = -9 + 2b + -2b

Combine like terms: 15b + -2b = 13b
15 + 13b = -9 + 2b + -2b

Combine like terms: 2b + -2b = 0
15 + 13b = -9 + 0
15 + 13b = -9

Add '-15' to each side of the equation.
15 + -15 + 13b = -9 + -15

Combine like terms: 15 + -15 = 0
0 + 13b = -9 + -15
13b = -9 + -15

Combine like terms: -9 + -15 = -24
13b = -24

Divide each side by '13'.
b = -1.846153846

Simplifying
b = -1.846153846

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