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Simplifying 3 + 2m + -1 = 6m + 12 + -2m Reorder the terms: 3 + -1 + 2m = 6m + 12 + -2m Combine like terms: 3 + -1 = 2 2 + 2m = 6m + 12 + -2m Reorder the terms: 2 + 2m = 12 + 6m + -2m Combine like terms: 6m + -2m = 4m 2 + 2m = 12 + 4m Solving 2 + 2m = 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. 2 + 2m + -4m = 12 + 4m + -4m Combine like terms: 2m + -4m = -2m 2 + -2m = 12 + 4m + -4m Combine like terms: 4m + -4m = 0 2 + -2m = 12 + 0 2 + -2m = 12 Add '-2' to each side of the equation. 2 + -2 + -2m = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -2m = 12 + -2 -2m = 12 + -2 Combine like terms: 12 + -2 = 10 -2m = 10 Divide each side by '-2'. m = -5 Simplifying m = -5
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