-6(b-3)+7(4b-4)=-32

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Solution for -6(b-3)+7(4b-4)=-32 equation: 


Simplifying
-6(b + -3) + 7(4b + -4) = -32

Reorder the terms:
-6(-3 + b) + 7(4b + -4) = -32
(-3 * -6 + b * -6) + 7(4b + -4) = -32
(18 + -6b) + 7(4b + -4) = -32

Reorder the terms:
18 + -6b + 7(-4 + 4b) = -32
18 + -6b + (-4 * 7 + 4b * 7) = -32
18 + -6b + (-28 + 28b) = -32

Reorder the terms:
18 + -28 + -6b + 28b = -32

Combine like terms: 18 + -28 = -10
-10 + -6b + 28b = -32

Combine like terms: -6b + 28b = 22b
-10 + 22b = -32

Solving
-10 + 22b = -32

Solving for variable 'b'.

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

Add '10' to each side of the equation.
-10 + 10 + 22b = -32 + 10

Combine like terms: -10 + 10 = 0
0 + 22b = -32 + 10
22b = -32 + 10

Combine like terms: -32 + 10 = -22
22b = -22

Divide each side by '22'.
b = -1

Simplifying
b = -1

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