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Simplifying -5(16b + -20) = 9b + 9(-12b + 9) Reorder the terms: -5(-20 + 16b) = 9b + 9(-12b + 9) (-20 * -5 + 16b * -5) = 9b + 9(-12b + 9) (100 + -80b) = 9b + 9(-12b + 9) Reorder the terms: 100 + -80b = 9b + 9(9 + -12b) 100 + -80b = 9b + (9 * 9 + -12b * 9) 100 + -80b = 9b + (81 + -108b) Reorder the terms: 100 + -80b = 81 + 9b + -108b Combine like terms: 9b + -108b = -99b 100 + -80b = 81 + -99b Solving 100 + -80b = 81 + -99b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '99b' to each side of the equation. 100 + -80b + 99b = 81 + -99b + 99b Combine like terms: -80b + 99b = 19b 100 + 19b = 81 + -99b + 99b Combine like terms: -99b + 99b = 0 100 + 19b = 81 + 0 100 + 19b = 81 Add '-100' to each side of the equation. 100 + -100 + 19b = 81 + -100 Combine like terms: 100 + -100 = 0 0 + 19b = 81 + -100 19b = 81 + -100 Combine like terms: 81 + -100 = -19 19b = -19 Divide each side by '19'. b = -1 Simplifying b = -1
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