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Simplifying 24 + -3(2m + -6) = 5m + 12 + -1m Reorder the terms: 24 + -3(-6 + 2m) = 5m + 12 + -1m 24 + (-6 * -3 + 2m * -3) = 5m + 12 + -1m 24 + (18 + -6m) = 5m + 12 + -1m Combine like terms: 24 + 18 = 42 42 + -6m = 5m + 12 + -1m Reorder the terms: 42 + -6m = 12 + 5m + -1m Combine like terms: 5m + -1m = 4m 42 + -6m = 12 + 4m Solving 42 + -6m = 12 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 42 + -6m + -4m = 12 + 4m + -4m Combine like terms: -6m + -4m = -10m 42 + -10m = 12 + 4m + -4m Combine like terms: 4m + -4m = 0 42 + -10m = 12 + 0 42 + -10m = 12 Add '-42' to each side of the equation. 42 + -42 + -10m = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -10m = 12 + -42 -10m = 12 + -42 Combine like terms: 12 + -42 = -30 -10m = -30 Divide each side by '-10'. m = 3 Simplifying m = 3
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