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Simplifying -8(2b + -3) = -8(b + 12) Reorder the terms: -8(-3 + 2b) = -8(b + 12) (-3 * -8 + 2b * -8) = -8(b + 12) (24 + -16b) = -8(b + 12) Reorder the terms: 24 + -16b = -8(12 + b) 24 + -16b = (12 * -8 + b * -8) 24 + -16b = (-96 + -8b) Solving 24 + -16b = -96 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 24 + -16b + 8b = -96 + -8b + 8b Combine like terms: -16b + 8b = -8b 24 + -8b = -96 + -8b + 8b Combine like terms: -8b + 8b = 0 24 + -8b = -96 + 0 24 + -8b = -96 Add '-24' to each side of the equation. 24 + -24 + -8b = -96 + -24 Combine like terms: 24 + -24 = 0 0 + -8b = -96 + -24 -8b = -96 + -24 Combine like terms: -96 + -24 = -120 -8b = -120 Divide each side by '-8'. b = 15 Simplifying b = 15
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