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

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


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

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

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

Combine like terms: -9 + 30 = 21
15 + b = 21 + 2b + 15b

Combine like terms: 2b + 15b = 17b
15 + b = 21 + 17b

Solving
15 + b = 21 + 17b

Solving for variable 'b'.

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

Add '-17b' to each side of the equation.
15 + b + -17b = 21 + 17b + -17b

Combine like terms: b + -17b = -16b
15 + -16b = 21 + 17b + -17b

Combine like terms: 17b + -17b = 0
15 + -16b = 21 + 0
15 + -16b = 21

Add '-15' to each side of the equation.
15 + -15 + -16b = 21 + -15

Combine like terms: 15 + -15 = 0
0 + -16b = 21 + -15
-16b = 21 + -15

Combine like terms: 21 + -15 = 6
-16b = 6

Divide each side by '-16'.
b = -0.375

Simplifying
b = -0.375

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