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Simplifying 2m + 12 = 2(3m + -1) Reorder the terms: 12 + 2m = 2(3m + -1) Reorder the terms: 12 + 2m = 2(-1 + 3m) 12 + 2m = (-1 * 2 + 3m * 2) 12 + 2m = (-2 + 6m) Solving 12 + 2m = -2 + 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. 12 + 2m + -6m = -2 + 6m + -6m Combine like terms: 2m + -6m = -4m 12 + -4m = -2 + 6m + -6m Combine like terms: 6m + -6m = 0 12 + -4m = -2 + 0 12 + -4m = -2 Add '-12' to each side of the equation. 12 + -12 + -4m = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -4m = -2 + -12 -4m = -2 + -12 Combine like terms: -2 + -12 = -14 -4m = -14 Divide each side by '-4'. m = 3.5 Simplifying m = 3.5
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