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Simplifying -12(b + 12) = -8(b + 8) + 6b Reorder the terms: -12(12 + b) = -8(b + 8) + 6b (12 * -12 + b * -12) = -8(b + 8) + 6b (-144 + -12b) = -8(b + 8) + 6b Reorder the terms: -144 + -12b = -8(8 + b) + 6b -144 + -12b = (8 * -8 + b * -8) + 6b -144 + -12b = (-64 + -8b) + 6b Combine like terms: -8b + 6b = -2b -144 + -12b = -64 + -2b Solving -144 + -12b = -64 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -144 + -12b + 2b = -64 + -2b + 2b Combine like terms: -12b + 2b = -10b -144 + -10b = -64 + -2b + 2b Combine like terms: -2b + 2b = 0 -144 + -10b = -64 + 0 -144 + -10b = -64 Add '144' to each side of the equation. -144 + 144 + -10b = -64 + 144 Combine like terms: -144 + 144 = 0 0 + -10b = -64 + 144 -10b = -64 + 144 Combine like terms: -64 + 144 = 80 -10b = 80 Divide each side by '-10'. b = -8 Simplifying b = -8
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