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Simplifying 39 = -2(21 + -1m) + 3(m + -3) 39 = (21 * -2 + -1m * -2) + 3(m + -3) 39 = (-42 + 2m) + 3(m + -3) Reorder the terms: 39 = -42 + 2m + 3(-3 + m) 39 = -42 + 2m + (-3 * 3 + m * 3) 39 = -42 + 2m + (-9 + 3m) Reorder the terms: 39 = -42 + -9 + 2m + 3m Combine like terms: -42 + -9 = -51 39 = -51 + 2m + 3m Combine like terms: 2m + 3m = 5m 39 = -51 + 5m Solving 39 = -51 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 39 + -5m = -51 + 5m + -5m Combine like terms: 5m + -5m = 0 39 + -5m = -51 + 0 39 + -5m = -51 Add '-39' to each side of the equation. 39 + -39 + -5m = -51 + -39 Combine like terms: 39 + -39 = 0 0 + -5m = -51 + -39 -5m = -51 + -39 Combine like terms: -51 + -39 = -90 -5m = -90 Divide each side by '-5'. m = 18 Simplifying m = 18
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