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Simplifying 9 + -5(2m + -4) = 3m + 3(7 + -4m) Reorder the terms: 9 + -5(-4 + 2m) = 3m + 3(7 + -4m) 9 + (-4 * -5 + 2m * -5) = 3m + 3(7 + -4m) 9 + (20 + -10m) = 3m + 3(7 + -4m) Combine like terms: 9 + 20 = 29 29 + -10m = 3m + 3(7 + -4m) 29 + -10m = 3m + (7 * 3 + -4m * 3) 29 + -10m = 3m + (21 + -12m) Reorder the terms: 29 + -10m = 21 + 3m + -12m Combine like terms: 3m + -12m = -9m 29 + -10m = 21 + -9m Solving 29 + -10m = 21 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. 29 + -10m + 9m = 21 + -9m + 9m Combine like terms: -10m + 9m = -1m 29 + -1m = 21 + -9m + 9m Combine like terms: -9m + 9m = 0 29 + -1m = 21 + 0 29 + -1m = 21 Add '-29' to each side of the equation. 29 + -29 + -1m = 21 + -29 Combine like terms: 29 + -29 = 0 0 + -1m = 21 + -29 -1m = 21 + -29 Combine like terms: 21 + -29 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8
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