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Simplifying 24 = -3(21 + -1m) + 2(m + -4) 24 = (21 * -3 + -1m * -3) + 2(m + -4) 24 = (-63 + 3m) + 2(m + -4) Reorder the terms: 24 = -63 + 3m + 2(-4 + m) 24 = -63 + 3m + (-4 * 2 + m * 2) 24 = -63 + 3m + (-8 + 2m) Reorder the terms: 24 = -63 + -8 + 3m + 2m Combine like terms: -63 + -8 = -71 24 = -71 + 3m + 2m Combine like terms: 3m + 2m = 5m 24 = -71 + 5m Solving 24 = -71 + 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. 24 + -5m = -71 + 5m + -5m Combine like terms: 5m + -5m = 0 24 + -5m = -71 + 0 24 + -5m = -71 Add '-24' to each side of the equation. 24 + -24 + -5m = -71 + -24 Combine like terms: 24 + -24 = 0 0 + -5m = -71 + -24 -5m = -71 + -24 Combine like terms: -71 + -24 = -95 -5m = -95 Divide each side by '-5'. m = 19 Simplifying m = 19
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