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Simplifying 14 = -3(24 + -1m) + 2(m + -2) 14 = (24 * -3 + -1m * -3) + 2(m + -2) 14 = (-72 + 3m) + 2(m + -2) Reorder the terms: 14 = -72 + 3m + 2(-2 + m) 14 = -72 + 3m + (-2 * 2 + m * 2) 14 = -72 + 3m + (-4 + 2m) Reorder the terms: 14 = -72 + -4 + 3m + 2m Combine like terms: -72 + -4 = -76 14 = -76 + 3m + 2m Combine like terms: 3m + 2m = 5m 14 = -76 + 5m Solving 14 = -76 + 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. 14 + -5m = -76 + 5m + -5m Combine like terms: 5m + -5m = 0 14 + -5m = -76 + 0 14 + -5m = -76 Add '-14' to each side of the equation. 14 + -14 + -5m = -76 + -14 Combine like terms: 14 + -14 = 0 0 + -5m = -76 + -14 -5m = -76 + -14 Combine like terms: -76 + -14 = -90 -5m = -90 Divide each side by '-5'. m = 18 Simplifying m = 18
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