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Simplifying 10 = -3(24 + -1m) + 2(m + -4) 10 = (24 * -3 + -1m * -3) + 2(m + -4) 10 = (-72 + 3m) + 2(m + -4) Reorder the terms: 10 = -72 + 3m + 2(-4 + m) 10 = -72 + 3m + (-4 * 2 + m * 2) 10 = -72 + 3m + (-8 + 2m) Reorder the terms: 10 = -72 + -8 + 3m + 2m Combine like terms: -72 + -8 = -80 10 = -80 + 3m + 2m Combine like terms: 3m + 2m = 5m 10 = -80 + 5m Solving 10 = -80 + 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. 10 + -5m = -80 + 5m + -5m Combine like terms: 5m + -5m = 0 10 + -5m = -80 + 0 10 + -5m = -80 Add '-10' to each side of the equation. 10 + -10 + -5m = -80 + -10 Combine like terms: 10 + -10 = 0 0 + -5m = -80 + -10 -5m = -80 + -10 Combine like terms: -80 + -10 = -90 -5m = -90 Divide each side by '-5'. m = 18 Simplifying m = 18
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