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Simplifying 6 + 12m + -2 = 6m + 24 + -4m Reorder the terms: 6 + -2 + 12m = 6m + 24 + -4m Combine like terms: 6 + -2 = 4 4 + 12m = 6m + 24 + -4m Reorder the terms: 4 + 12m = 24 + 6m + -4m Combine like terms: 6m + -4m = 2m 4 + 12m = 24 + 2m Solving 4 + 12m = 24 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 4 + 12m + -2m = 24 + 2m + -2m Combine like terms: 12m + -2m = 10m 4 + 10m = 24 + 2m + -2m Combine like terms: 2m + -2m = 0 4 + 10m = 24 + 0 4 + 10m = 24 Add '-4' to each side of the equation. 4 + -4 + 10m = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 10m = 24 + -4 10m = 24 + -4 Combine like terms: 24 + -4 = 20 10m = 20 Divide each side by '10'. m = 2 Simplifying m = 2
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