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Simplifying 3(4m + 6) = 4(2m + -1) Reorder the terms: 3(6 + 4m) = 4(2m + -1) (6 * 3 + 4m * 3) = 4(2m + -1) (18 + 12m) = 4(2m + -1) Reorder the terms: 18 + 12m = 4(-1 + 2m) 18 + 12m = (-1 * 4 + 2m * 4) 18 + 12m = (-4 + 8m) Solving 18 + 12m = -4 + 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. 18 + 12m + -8m = -4 + 8m + -8m Combine like terms: 12m + -8m = 4m 18 + 4m = -4 + 8m + -8m Combine like terms: 8m + -8m = 0 18 + 4m = -4 + 0 18 + 4m = -4 Add '-18' to each side of the equation. 18 + -18 + 4m = -4 + -18 Combine like terms: 18 + -18 = 0 0 + 4m = -4 + -18 4m = -4 + -18 Combine like terms: -4 + -18 = -22 4m = -22 Divide each side by '4'. m = -5.5 Simplifying m = -5.5
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