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Simplifying 3(1 + 8b) = 8b + -29 (1 * 3 + 8b * 3) = 8b + -29 (3 + 24b) = 8b + -29 Reorder the terms: 3 + 24b = -29 + 8b Solving 3 + 24b = -29 + 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. 3 + 24b + -8b = -29 + 8b + -8b Combine like terms: 24b + -8b = 16b 3 + 16b = -29 + 8b + -8b Combine like terms: 8b + -8b = 0 3 + 16b = -29 + 0 3 + 16b = -29 Add '-3' to each side of the equation. 3 + -3 + 16b = -29 + -3 Combine like terms: 3 + -3 = 0 0 + 16b = -29 + -3 16b = -29 + -3 Combine like terms: -29 + -3 = -32 16b = -32 Divide each side by '16'. b = -2 Simplifying b = -2
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