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Simplifying -12(-12 + 6b) = -3(9b + 12) (-12 * -12 + 6b * -12) = -3(9b + 12) (144 + -72b) = -3(9b + 12) Reorder the terms: 144 + -72b = -3(12 + 9b) 144 + -72b = (12 * -3 + 9b * -3) 144 + -72b = (-36 + -27b) Solving 144 + -72b = -36 + -27b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '27b' to each side of the equation. 144 + -72b + 27b = -36 + -27b + 27b Combine like terms: -72b + 27b = -45b 144 + -45b = -36 + -27b + 27b Combine like terms: -27b + 27b = 0 144 + -45b = -36 + 0 144 + -45b = -36 Add '-144' to each side of the equation. 144 + -144 + -45b = -36 + -144 Combine like terms: 144 + -144 = 0 0 + -45b = -36 + -144 -45b = -36 + -144 Combine like terms: -36 + -144 = -180 -45b = -180 Divide each side by '-45'. b = 4 Simplifying b = 4
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