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Simplifying 2(1 + -7m) = 6(-2m + 2) (1 * 2 + -7m * 2) = 6(-2m + 2) (2 + -14m) = 6(-2m + 2) Reorder the terms: 2 + -14m = 6(2 + -2m) 2 + -14m = (2 * 6 + -2m * 6) 2 + -14m = (12 + -12m) Solving 2 + -14m = 12 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. 2 + -14m + 12m = 12 + -12m + 12m Combine like terms: -14m + 12m = -2m 2 + -2m = 12 + -12m + 12m Combine like terms: -12m + 12m = 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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