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Simplifying -3(4 + -5b) = 9(b + 4) (4 * -3 + -5b * -3) = 9(b + 4) (-12 + 15b) = 9(b + 4) Reorder the terms: -12 + 15b = 9(4 + b) -12 + 15b = (4 * 9 + b * 9) -12 + 15b = (36 + 9b) Solving -12 + 15b = 36 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. -12 + 15b + -9b = 36 + 9b + -9b Combine like terms: 15b + -9b = 6b -12 + 6b = 36 + 9b + -9b Combine like terms: 9b + -9b = 0 -12 + 6b = 36 + 0 -12 + 6b = 36 Add '12' to each side of the equation. -12 + 12 + 6b = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 6b = 36 + 12 6b = 36 + 12 Combine like terms: 36 + 12 = 48 6b = 48 Divide each side by '6'. b = 8 Simplifying b = 8
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