-3(1-14b)+12(1+7b)=-117

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Solution for -3(1-14b)+12(1+7b)=-117 equation:


Simplifying
-3(1 + -14b) + 12(1 + 7b) = -117
(1 * -3 + -14b * -3) + 12(1 + 7b) = -117
(-3 + 42b) + 12(1 + 7b) = -117
-3 + 42b + (1 * 12 + 7b * 12) = -117
-3 + 42b + (12 + 84b) = -117

Reorder the terms:
-3 + 12 + 42b + 84b = -117

Combine like terms: -3 + 12 = 9
9 + 42b + 84b = -117

Combine like terms: 42b + 84b = 126b
9 + 126b = -117

Solving
9 + 126b = -117

Solving for variable 'b'.

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

Add '-9' to each side of the equation.
9 + -9 + 126b = -117 + -9

Combine like terms: 9 + -9 = 0
0 + 126b = -117 + -9
126b = -117 + -9

Combine like terms: -117 + -9 = -126
126b = -126

Divide each side by '126'.
b = -1

Simplifying
b = -1

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