40=2(5-8b)-6(b+6)

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Solution for 40=2(5-8b)-6(b+6) equation: 


Simplifying
40 = 2(5 + -8b) + -6(b + 6)
40 = (5 * 2 + -8b * 2) + -6(b + 6)
40 = (10 + -16b) + -6(b + 6)

Reorder the terms:
40 = 10 + -16b + -6(6 + b)
40 = 10 + -16b + (6 * -6 + b * -6)
40 = 10 + -16b + (-36 + -6b)

Reorder the terms:
40 = 10 + -36 + -16b + -6b

Combine like terms: 10 + -36 = -26
40 = -26 + -16b + -6b

Combine like terms: -16b + -6b = -22b
40 = -26 + -22b

Solving
40 = -26 + -22b

Solving for variable 'b'.

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

Add '22b' to each side of the equation.
40 + 22b = -26 + -22b + 22b

Combine like terms: -22b + 22b = 0
40 + 22b = -26 + 0
40 + 22b = -26

Add '-40' to each side of the equation.
40 + -40 + 22b = -26 + -40

Combine like terms: 40 + -40 = 0
0 + 22b = -26 + -40
22b = -26 + -40

Combine like terms: -26 + -40 = -66
22b = -66

Divide each side by '22'.
b = -3

Simplifying
b = -3

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