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Simplifying 9 + 3(5 + -1b) = 7(2 + -1b) 9 + (5 * 3 + -1b * 3) = 7(2 + -1b) 9 + (15 + -3b) = 7(2 + -1b) Combine like terms: 9 + 15 = 24 24 + -3b = 7(2 + -1b) 24 + -3b = (2 * 7 + -1b * 7) 24 + -3b = (14 + -7b) Solving 24 + -3b = 14 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 24 + -3b + 7b = 14 + -7b + 7b Combine like terms: -3b + 7b = 4b 24 + 4b = 14 + -7b + 7b Combine like terms: -7b + 7b = 0 24 + 4b = 14 + 0 24 + 4b = 14 Add '-24' to each side of the equation. 24 + -24 + 4b = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 4b = 14 + -24 4b = 14 + -24 Combine like terms: 14 + -24 = -10 4b = -10 Divide each side by '4'. b = -2.5 Simplifying b = -2.5
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