90=1.5(b+12)+15+2b-9

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Solution for 90=1.5(b+12)+15+2b-9 equation: 


Simplifying
90 = 1.5(b + 12) + 15 + 2b + -9

Reorder the terms:
90 = 1.5(12 + b) + 15 + 2b + -9
90 = (12 * 1.5 + b * 1.5) + 15 + 2b + -9
90 = (18 + 1.5b) + 15 + 2b + -9

Reorder the terms:
90 = 18 + 15 + -9 + 1.5b + 2b

Combine like terms: 18 + 15 = 33
90 = 33 + -9 + 1.5b + 2b

Combine like terms: 33 + -9 = 24
90 = 24 + 1.5b + 2b

Combine like terms: 1.5b + 2b = 3.5b
90 = 24 + 3.5b

Solving
90 = 24 + 3.5b

Solving for variable 'b'.

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

Add '-3.5b' to each side of the equation.
90 + -3.5b = 24 + 3.5b + -3.5b

Combine like terms: 3.5b + -3.5b = 0.0
90 + -3.5b = 24 + 0.0
90 + -3.5b = 24

Add '-90' to each side of the equation.
90 + -90 + -3.5b = 24 + -90

Combine like terms: 90 + -90 = 0
0 + -3.5b = 24 + -90
-3.5b = 24 + -90

Combine like terms: 24 + -90 = -66
-3.5b = -66

Divide each side by '-3.5'.
b = 18.85714286

Simplifying
b = 18.85714286

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