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Simplifying 2(-4b + 8) = -3(b + 3) Reorder the terms: 2(8 + -4b) = -3(b + 3) (8 * 2 + -4b * 2) = -3(b + 3) (16 + -8b) = -3(b + 3) Reorder the terms: 16 + -8b = -3(3 + b) 16 + -8b = (3 * -3 + b * -3) 16 + -8b = (-9 + -3b) Solving 16 + -8b = -9 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 16 + -8b + 3b = -9 + -3b + 3b Combine like terms: -8b + 3b = -5b 16 + -5b = -9 + -3b + 3b Combine like terms: -3b + 3b = 0 16 + -5b = -9 + 0 16 + -5b = -9 Add '-16' to each side of the equation. 16 + -16 + -5b = -9 + -16 Combine like terms: 16 + -16 = 0 0 + -5b = -9 + -16 -5b = -9 + -16 Combine like terms: -9 + -16 = -25 -5b = -25 Divide each side by '-5'. b = 5 Simplifying b = 5
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