40=-2(23-b)+3(b-3)

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Solution for 40=-2(23-b)+3(b-3) equation: 


Simplifying
40 = -2(23 + -1b) + 3(b + -3)
40 = (23 * -2 + -1b * -2) + 3(b + -3)
40 = (-46 + 2b) + 3(b + -3)

Reorder the terms:
40 = -46 + 2b + 3(-3 + b)
40 = -46 + 2b + (-3 * 3 + b * 3)
40 = -46 + 2b + (-9 + 3b)

Reorder the terms:
40 = -46 + -9 + 2b + 3b

Combine like terms: -46 + -9 = -55
40 = -55 + 2b + 3b

Combine like terms: 2b + 3b = 5b
40 = -55 + 5b

Solving
40 = -55 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
40 + -5b = -55 + 5b + -5b

Combine like terms: 5b + -5b = 0
40 + -5b = -55 + 0
40 + -5b = -55

Add '-40' to each side of the equation.
40 + -40 + -5b = -55 + -40

Combine like terms: 40 + -40 = 0
0 + -5b = -55 + -40
-5b = -55 + -40

Combine like terms: -55 + -40 = -95
-5b = -95

Divide each side by '-5'.
b = 19

Simplifying
b = 19

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