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Simplifying 5(4m + 7) = -3(4m + -1) Reorder the terms: 5(7 + 4m) = -3(4m + -1) (7 * 5 + 4m * 5) = -3(4m + -1) (35 + 20m) = -3(4m + -1) Reorder the terms: 35 + 20m = -3(-1 + 4m) 35 + 20m = (-1 * -3 + 4m * -3) 35 + 20m = (3 + -12m) Solving 35 + 20m = 3 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. 35 + 20m + 12m = 3 + -12m + 12m Combine like terms: 20m + 12m = 32m 35 + 32m = 3 + -12m + 12m Combine like terms: -12m + 12m = 0 35 + 32m = 3 + 0 35 + 32m = 3 Add '-35' to each side of the equation. 35 + -35 + 32m = 3 + -35 Combine like terms: 35 + -35 = 0 0 + 32m = 3 + -35 32m = 3 + -35 Combine like terms: 3 + -35 = -32 32m = -32 Divide each side by '32'. m = -1 Simplifying m = -1
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