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Simplifying 2(12b + 7) = (9b + -1) Reorder the terms: 2(7 + 12b) = (9b + -1) (7 * 2 + 12b * 2) = (9b + -1) (14 + 24b) = (9b + -1) Reorder the terms: 14 + 24b = (-1 + 9b) Remove parenthesis around (-1 + 9b) 14 + 24b = -1 + 9b Solving 14 + 24b = -1 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 14 + 24b + -9b = -1 + 9b + -9b Combine like terms: 24b + -9b = 15b 14 + 15b = -1 + 9b + -9b Combine like terms: 9b + -9b = 0 14 + 15b = -1 + 0 14 + 15b = -1 Add '-14' to each side of the equation. 14 + -14 + 15b = -1 + -14 Combine like terms: 14 + -14 = 0 0 + 15b = -1 + -14 15b = -1 + -14 Combine like terms: -1 + -14 = -15 15b = -15 Divide each side by '15'. b = -1 Simplifying b = -1
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