40=-2(7+3b)+6(1-7b)

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Solution for 40=-2(7+3b)+6(1-7b) equation: 


Simplifying
40 = -2(7 + 3b) + 6(1 + -7b)
40 = (7 * -2 + 3b * -2) + 6(1 + -7b)
40 = (-14 + -6b) + 6(1 + -7b)
40 = -14 + -6b + (1 * 6 + -7b * 6)
40 = -14 + -6b + (6 + -42b)

Reorder the terms:
40 = -14 + 6 + -6b + -42b

Combine like terms: -14 + 6 = -8
40 = -8 + -6b + -42b

Combine like terms: -6b + -42b = -48b
40 = -8 + -48b

Solving
40 = -8 + -48b

Solving for variable 'b'.

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

Add '48b' to each side of the equation.
40 + 48b = -8 + -48b + 48b

Combine like terms: -48b + 48b = 0
40 + 48b = -8 + 0
40 + 48b = -8

Add '-40' to each side of the equation.
40 + -40 + 48b = -8 + -40

Combine like terms: 40 + -40 = 0
0 + 48b = -8 + -40
48b = -8 + -40

Combine like terms: -8 + -40 = -48
48b = -48

Divide each side by '48'.
b = -1

Simplifying
b = -1

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