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Simplifying 12 + 4(m + 3) = 6(5 + -1m) Reorder the terms: 12 + 4(3 + m) = 6(5 + -1m) 12 + (3 * 4 + m * 4) = 6(5 + -1m) 12 + (12 + 4m) = 6(5 + -1m) Combine like terms: 12 + 12 = 24 24 + 4m = 6(5 + -1m) 24 + 4m = (5 * 6 + -1m * 6) 24 + 4m = (30 + -6m) Solving 24 + 4m = 30 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 24 + 4m + 6m = 30 + -6m + 6m Combine like terms: 4m + 6m = 10m 24 + 10m = 30 + -6m + 6m Combine like terms: -6m + 6m = 0 24 + 10m = 30 + 0 24 + 10m = 30 Add '-24' to each side of the equation. 24 + -24 + 10m = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 10m = 30 + -24 10m = 30 + -24 Combine like terms: 30 + -24 = 6 10m = 6 Divide each side by '10'. m = 0.6 Simplifying m = 0.6
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