-12=-4(7-b)-8(b-6)

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Solution for -12=-4(7-b)-8(b-6) equation:


Simplifying
-12 = -4(7 + -1b) + -8(b + -6)
-12 = (7 * -4 + -1b * -4) + -8(b + -6)
-12 = (-28 + 4b) + -8(b + -6)

Reorder the terms:
-12 = -28 + 4b + -8(-6 + b)
-12 = -28 + 4b + (-6 * -8 + b * -8)
-12 = -28 + 4b + (48 + -8b)

Reorder the terms:
-12 = -28 + 48 + 4b + -8b

Combine like terms: -28 + 48 = 20
-12 = 20 + 4b + -8b

Combine like terms: 4b + -8b = -4b
-12 = 20 + -4b

Solving
-12 = 20 + -4b

Solving for variable 'b'.

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

Add '4b' to each side of the equation.
-12 + 4b = 20 + -4b + 4b

Combine like terms: -4b + 4b = 0
-12 + 4b = 20 + 0
-12 + 4b = 20

Add '12' to each side of the equation.
-12 + 12 + 4b = 20 + 12

Combine like terms: -12 + 12 = 0
0 + 4b = 20 + 12
4b = 20 + 12

Combine like terms: 20 + 12 = 32
4b = 32

Divide each side by '4'.
b = 8

Simplifying
b = 8

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