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Simplifying (12 + b) * 16 = 14b Reorder the terms for easier multiplication: 16(12 + b) = 14b (12 * 16 + b * 16) = 14b (192 + 16b) = 14b Solving 192 + 16b = 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 192 + 16b + -14b = 14b + -14b Combine like terms: 16b + -14b = 2b 192 + 2b = 14b + -14b Combine like terms: 14b + -14b = 0 192 + 2b = 0 Add '-192' to each side of the equation. 192 + -192 + 2b = 0 + -192 Combine like terms: 192 + -192 = 0 0 + 2b = 0 + -192 2b = 0 + -192 Combine like terms: 0 + -192 = -192 2b = -192 Divide each side by '2'. b = -96 Simplifying b = -96
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