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Simplifying 3(7m + 4) = -6(1 + -2m) Reorder the terms: 3(4 + 7m) = -6(1 + -2m) (4 * 3 + 7m * 3) = -6(1 + -2m) (12 + 21m) = -6(1 + -2m) 12 + 21m = (1 * -6 + -2m * -6) 12 + 21m = (-6 + 12m) Solving 12 + 21m = -6 + 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. 12 + 21m + -12m = -6 + 12m + -12m Combine like terms: 21m + -12m = 9m 12 + 9m = -6 + 12m + -12m Combine like terms: 12m + -12m = 0 12 + 9m = -6 + 0 12 + 9m = -6 Add '-12' to each side of the equation. 12 + -12 + 9m = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 9m = -6 + -12 9m = -6 + -12 Combine like terms: -6 + -12 = -18 9m = -18 Divide each side by '9'. m = -2 Simplifying m = -2
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