56-5b=-13b-4(11b-12)

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Solution for 56-5b=-13b-4(11b-12) equation:


Simplifying
56 + -5b = -13b + -4(11b + -12)

Reorder the terms:
56 + -5b = -13b + -4(-12 + 11b)
56 + -5b = -13b + (-12 * -4 + 11b * -4)
56 + -5b = -13b + (48 + -44b)

Reorder the terms:
56 + -5b = 48 + -13b + -44b

Combine like terms: -13b + -44b = -57b
56 + -5b = 48 + -57b

Solving
56 + -5b = 48 + -57b

Solving for variable 'b'.

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

Add '57b' to each side of the equation.
56 + -5b + 57b = 48 + -57b + 57b

Combine like terms: -5b + 57b = 52b
56 + 52b = 48 + -57b + 57b

Combine like terms: -57b + 57b = 0
56 + 52b = 48 + 0
56 + 52b = 48

Add '-56' to each side of the equation.
56 + -56 + 52b = 48 + -56

Combine like terms: 56 + -56 = 0
0 + 52b = 48 + -56
52b = 48 + -56

Combine like terms: 48 + -56 = -8
52b = -8

Divide each side by '52'.
b = -0.1538461538

Simplifying
b = -0.1538461538

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