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Simplifying 12(b + 8) = -16(b + 1) Reorder the terms: 12(8 + b) = -16(b + 1) (8 * 12 + b * 12) = -16(b + 1) (96 + 12b) = -16(b + 1) Reorder the terms: 96 + 12b = -16(1 + b) 96 + 12b = (1 * -16 + b * -16) 96 + 12b = (-16 + -16b) Solving 96 + 12b = -16 + -16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16b' to each side of the equation. 96 + 12b + 16b = -16 + -16b + 16b Combine like terms: 12b + 16b = 28b 96 + 28b = -16 + -16b + 16b Combine like terms: -16b + 16b = 0 96 + 28b = -16 + 0 96 + 28b = -16 Add '-96' to each side of the equation. 96 + -96 + 28b = -16 + -96 Combine like terms: 96 + -96 = 0 0 + 28b = -16 + -96 28b = -16 + -96 Combine like terms: -16 + -96 = -112 28b = -112 Divide each side by '28'. b = -4 Simplifying b = -4
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