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Simplifying -9(-5 + -1b) = b + 29 (-5 * -9 + -1b * -9) = b + 29 (45 + 9b) = b + 29 Reorder the terms: 45 + 9b = 29 + b Solving 45 + 9b = 29 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 45 + 9b + -1b = 29 + b + -1b Combine like terms: 9b + -1b = 8b 45 + 8b = 29 + b + -1b Combine like terms: b + -1b = 0 45 + 8b = 29 + 0 45 + 8b = 29 Add '-45' to each side of the equation. 45 + -45 + 8b = 29 + -45 Combine like terms: 45 + -45 = 0 0 + 8b = 29 + -45 8b = 29 + -45 Combine like terms: 29 + -45 = -16 8b = -16 Divide each side by '8'. b = -2 Simplifying b = -2
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