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

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


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

Reorder the terms:
90 + -15 + 2b + -9 + 1.5(2 + b) = b
90 + -15 + 2b + -9 + (2 * 1.5 + b * 1.5) = b
90 + -15 + 2b + -9 + (3 + 1.5b) = b

Reorder the terms:
90 + -15 + -9 + 3 + 2b + 1.5b = b

Combine like terms: 90 + -15 = 75
75 + -9 + 3 + 2b + 1.5b = b

Combine like terms: 75 + -9 = 66
66 + 3 + 2b + 1.5b = b

Combine like terms: 66 + 3 = 69
69 + 2b + 1.5b = b

Combine like terms: 2b + 1.5b = 3.5b
69 + 3.5b = b

Solving
69 + 3.5b = b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
69 + 3.5b + -1b = b + -1b

Combine like terms: 3.5b + -1b = 2.5b
69 + 2.5b = b + -1b

Combine like terms: b + -1b = 0
69 + 2.5b = 0

Add '-69' to each side of the equation.
69 + -69 + 2.5b = 0 + -69

Combine like terms: 69 + -69 = 0
0 + 2.5b = 0 + -69
2.5b = 0 + -69

Combine like terms: 0 + -69 = -69
2.5b = -69

Divide each side by '2.5'.
b = -27.6

Simplifying
b = -27.6

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