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Simplifying 2m + -4 + 12 = 3m + -4 + 2 Reorder the terms: -4 + 12 + 2m = 3m + -4 + 2 Combine like terms: -4 + 12 = 8 8 + 2m = 3m + -4 + 2 Reorder the terms: 8 + 2m = -4 + 2 + 3m Combine like terms: -4 + 2 = -2 8 + 2m = -2 + 3m Solving 8 + 2m = -2 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 8 + 2m + -3m = -2 + 3m + -3m Combine like terms: 2m + -3m = -1m 8 + -1m = -2 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + -1m = -2 + 0 8 + -1m = -2 Add '-8' to each side of the equation. 8 + -8 + -1m = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = -2 + -8 -1m = -2 + -8 Combine like terms: -2 + -8 = -10 -1m = -10 Divide each side by '-1'. m = 10 Simplifying m = 10
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