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Simplifying 2(4m + 6) = 4(5m + -6) Reorder the terms: 2(6 + 4m) = 4(5m + -6) (6 * 2 + 4m * 2) = 4(5m + -6) (12 + 8m) = 4(5m + -6) Reorder the terms: 12 + 8m = 4(-6 + 5m) 12 + 8m = (-6 * 4 + 5m * 4) 12 + 8m = (-24 + 20m) Solving 12 + 8m = -24 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 12 + 8m + -20m = -24 + 20m + -20m Combine like terms: 8m + -20m = -12m 12 + -12m = -24 + 20m + -20m Combine like terms: 20m + -20m = 0 12 + -12m = -24 + 0 12 + -12m = -24 Add '-12' to each side of the equation. 12 + -12 + -12m = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -12m = -24 + -12 -12m = -24 + -12 Combine like terms: -24 + -12 = -36 -12m = -36 Divide each side by '-12'. m = 3 Simplifying m = 3
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