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Simplifying -4(-3m + 5) = 4 + -4(-5m + 6) Reorder the terms: -4(5 + -3m) = 4 + -4(-5m + 6) (5 * -4 + -3m * -4) = 4 + -4(-5m + 6) (-20 + 12m) = 4 + -4(-5m + 6) Reorder the terms: -20 + 12m = 4 + -4(6 + -5m) -20 + 12m = 4 + (6 * -4 + -5m * -4) -20 + 12m = 4 + (-24 + 20m) Combine like terms: 4 + -24 = -20 -20 + 12m = -20 + 20m Add '20' to each side of the equation. -20 + 20 + 12m = -20 + 20 + 20m Combine like terms: -20 + 20 = 0 0 + 12m = -20 + 20 + 20m 12m = -20 + 20 + 20m Combine like terms: -20 + 20 = 0 12m = 0 + 20m 12m = 20m Solving 12m = 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. 12m + -20m = 20m + -20m Combine like terms: 12m + -20m = -8m -8m = 20m + -20m Combine like terms: 20m + -20m = 0 -8m = 0 Divide each side by '-8'. m = 0 Simplifying m = 0
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