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Simplifying 5(m + -5) = 2(4m + 5) Reorder the terms: 5(-5 + m) = 2(4m + 5) (-5 * 5 + m * 5) = 2(4m + 5) (-25 + 5m) = 2(4m + 5) Reorder the terms: -25 + 5m = 2(5 + 4m) -25 + 5m = (5 * 2 + 4m * 2) -25 + 5m = (10 + 8m) Solving -25 + 5m = 10 + 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. -25 + 5m + -8m = 10 + 8m + -8m Combine like terms: 5m + -8m = -3m -25 + -3m = 10 + 8m + -8m Combine like terms: 8m + -8m = 0 -25 + -3m = 10 + 0 -25 + -3m = 10 Add '25' to each side of the equation. -25 + 25 + -3m = 10 + 25 Combine like terms: -25 + 25 = 0 0 + -3m = 10 + 25 -3m = 10 + 25 Combine like terms: 10 + 25 = 35 -3m = 35 Divide each side by '-3'. m = -11.66666667 Simplifying m = -11.66666667
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