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Simplifying 9(4 + -1b) = 2(9 + -4b) (4 * 9 + -1b * 9) = 2(9 + -4b) (36 + -9b) = 2(9 + -4b) 36 + -9b = (9 * 2 + -4b * 2) 36 + -9b = (18 + -8b) Solving 36 + -9b = 18 + -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. 36 + -9b + 8b = 18 + -8b + 8b Combine like terms: -9b + 8b = -1b 36 + -1b = 18 + -8b + 8b Combine like terms: -8b + 8b = 0 36 + -1b = 18 + 0 36 + -1b = 18 Add '-36' to each side of the equation. 36 + -36 + -1b = 18 + -36 Combine like terms: 36 + -36 = 0 0 + -1b = 18 + -36 -1b = 18 + -36 Combine like terms: 18 + -36 = -18 -1b = -18 Divide each side by '-1'. b = 18 Simplifying b = 18
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