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Simplifying 2(3m + 7) = -4(3 + -2m) Reorder the terms: 2(7 + 3m) = -4(3 + -2m) (7 * 2 + 3m * 2) = -4(3 + -2m) (14 + 6m) = -4(3 + -2m) 14 + 6m = (3 * -4 + -2m * -4) 14 + 6m = (-12 + 8m) Solving 14 + 6m = -12 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 14 + 6m + -8m = -12 + 8m + -8m Combine like terms: 6m + -8m = -2m 14 + -2m = -12 + 8m + -8m Combine like terms: 8m + -8m = 0 14 + -2m = -12 + 0 14 + -2m = -12 Add '-14' to each side of the equation. 14 + -14 + -2m = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -2m = -12 + -14 -2m = -12 + -14 Combine like terms: -12 + -14 = -26 -2m = -26 Divide each side by '-2'. m = 13 Simplifying m = 13
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