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Simplifying 0.25(2m + -20) = 0.25(8 + -8m) Reorder the terms: 0.25(-20 + 2m) = 0.25(8 + -8m) (-20 * 0.25 + 2m * 0.25) = 0.25(8 + -8m) (-5 + 0.5m) = 0.25(8 + -8m) -5 + 0.5m = (8 * 0.25 + -8m * 0.25) -5 + 0.5m = (2 + -2m) Solving -5 + 0.5m = 2 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -5 + 0.5m + 2m = 2 + -2m + 2m Combine like terms: 0.5m + 2m = 2.5m -5 + 2.5m = 2 + -2m + 2m Combine like terms: -2m + 2m = 0 -5 + 2.5m = 2 + 0 -5 + 2.5m = 2 Add '5' to each side of the equation. -5 + 5 + 2.5m = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 2.5m = 2 + 5 2.5m = 2 + 5 Combine like terms: 2 + 5 = 7 2.5m = 7 Divide each side by '2.5'. m = 2.8 Simplifying m = 2.8
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