56=-6(4-2b)-8(-1-3b)

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Solution for 56=-6(4-2b)-8(-1-3b) equation: 


Simplifying
56 = -6(4 + -2b) + -8(-1 + -3b)
56 = (4 * -6 + -2b * -6) + -8(-1 + -3b)
56 = (-24 + 12b) + -8(-1 + -3b)
56 = -24 + 12b + (-1 * -8 + -3b * -8)
56 = -24 + 12b + (8 + 24b)

Reorder the terms:
56 = -24 + 8 + 12b + 24b

Combine like terms: -24 + 8 = -16
56 = -16 + 12b + 24b

Combine like terms: 12b + 24b = 36b
56 = -16 + 36b

Solving
56 = -16 + 36b

Solving for variable 'b'.

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

Add '-36b' to each side of the equation.
56 + -36b = -16 + 36b + -36b

Combine like terms: 36b + -36b = 0
56 + -36b = -16 + 0
56 + -36b = -16

Add '-56' to each side of the equation.
56 + -56 + -36b = -16 + -56

Combine like terms: 56 + -56 = 0
0 + -36b = -16 + -56
-36b = -16 + -56

Combine like terms: -16 + -56 = -72
-36b = -72

Divide each side by '-36'.
b = 2

Simplifying
b = 2

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