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Simplifying 3m + 12 + -1m = 6 + 18 + -2m Reorder the terms: 12 + 3m + -1m = 6 + 18 + -2m Combine like terms: 3m + -1m = 2m 12 + 2m = 6 + 18 + -2m Combine like terms: 6 + 18 = 24 12 + 2m = 24 + -2m Solving 12 + 2m = 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. 12 + 2m + 2m = 24 + -2m + 2m Combine like terms: 2m + 2m = 4m 12 + 4m = 24 + -2m + 2m Combine like terms: -2m + 2m = 0 12 + 4m = 24 + 0 12 + 4m = 24 Add '-12' to each side of the equation. 12 + -12 + 4m = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 4m = 24 + -12 4m = 24 + -12 Combine like terms: 24 + -12 = 12 4m = 12 Divide each side by '4'. m = 3 Simplifying m = 3
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