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Simplifying -3(4 + -4b) + -6b = 5(b + -1) (4 * -3 + -4b * -3) + -6b = 5(b + -1) (-12 + 12b) + -6b = 5(b + -1) Combine like terms: 12b + -6b = 6b -12 + 6b = 5(b + -1) Reorder the terms: -12 + 6b = 5(-1 + b) -12 + 6b = (-1 * 5 + b * 5) -12 + 6b = (-5 + 5b) Solving -12 + 6b = -5 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -12 + 6b + -5b = -5 + 5b + -5b Combine like terms: 6b + -5b = 1b -12 + 1b = -5 + 5b + -5b Combine like terms: 5b + -5b = 0 -12 + 1b = -5 + 0 -12 + 1b = -5 Add '12' to each side of the equation. -12 + 12 + 1b = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = -5 + 12 1b = -5 + 12 Combine like terms: -5 + 12 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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