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Simplifying 9(5 + -2m) = 3(m + 8) (5 * 9 + -2m * 9) = 3(m + 8) (45 + -18m) = 3(m + 8) Reorder the terms: 45 + -18m = 3(8 + m) 45 + -18m = (8 * 3 + m * 3) 45 + -18m = (24 + 3m) Solving 45 + -18m = 24 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 45 + -18m + -3m = 24 + 3m + -3m Combine like terms: -18m + -3m = -21m 45 + -21m = 24 + 3m + -3m Combine like terms: 3m + -3m = 0 45 + -21m = 24 + 0 45 + -21m = 24 Add '-45' to each side of the equation. 45 + -45 + -21m = 24 + -45 Combine like terms: 45 + -45 = 0 0 + -21m = 24 + -45 -21m = 24 + -45 Combine like terms: 24 + -45 = -21 -21m = -21 Divide each side by '-21'. m = 1 Simplifying m = 1
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