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Simplifying 29 = -2(21 + -1m) + 3(m + -3) 29 = (21 * -2 + -1m * -2) + 3(m + -3) 29 = (-42 + 2m) + 3(m + -3) Reorder the terms: 29 = -42 + 2m + 3(-3 + m) 29 = -42 + 2m + (-3 * 3 + m * 3) 29 = -42 + 2m + (-9 + 3m) Reorder the terms: 29 = -42 + -9 + 2m + 3m Combine like terms: -42 + -9 = -51 29 = -51 + 2m + 3m Combine like terms: 2m + 3m = 5m 29 = -51 + 5m Solving 29 = -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. 29 + -5m = -51 + 5m + -5m Combine like terms: 5m + -5m = 0 29 + -5m = -51 + 0 29 + -5m = -51 Add '-29' to each side of the equation. 29 + -29 + -5m = -51 + -29 Combine like terms: 29 + -29 = 0 0 + -5m = -51 + -29 -5m = -51 + -29 Combine like terms: -51 + -29 = -80 -5m = -80 Divide each side by '-5'. m = 16 Simplifying m = 16
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