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Simplifying 6(2m + -4) = 4(5m + -2) Reorder the terms: 6(-4 + 2m) = 4(5m + -2) (-4 * 6 + 2m * 6) = 4(5m + -2) (-24 + 12m) = 4(5m + -2) Reorder the terms: -24 + 12m = 4(-2 + 5m) -24 + 12m = (-2 * 4 + 5m * 4) -24 + 12m = (-8 + 20m) Solving -24 + 12m = -8 + 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. -24 + 12m + -20m = -8 + 20m + -20m Combine like terms: 12m + -20m = -8m -24 + -8m = -8 + 20m + -20m Combine like terms: 20m + -20m = 0 -24 + -8m = -8 + 0 -24 + -8m = -8 Add '24' to each side of the equation. -24 + 24 + -8m = -8 + 24 Combine like terms: -24 + 24 = 0 0 + -8m = -8 + 24 -8m = -8 + 24 Combine like terms: -8 + 24 = 16 -8m = 16 Divide each side by '-8'. m = -2 Simplifying m = -2
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