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Simplifying -5(m + -5) = 3(10 + -2m) Reorder the terms: -5(-5 + m) = 3(10 + -2m) (-5 * -5 + m * -5) = 3(10 + -2m) (25 + -5m) = 3(10 + -2m) 25 + -5m = (10 * 3 + -2m * 3) 25 + -5m = (30 + -6m) Solving 25 + -5m = 30 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 25 + -5m + 6m = 30 + -6m + 6m Combine like terms: -5m + 6m = 1m 25 + 1m = 30 + -6m + 6m Combine like terms: -6m + 6m = 0 25 + 1m = 30 + 0 25 + 1m = 30 Add '-25' to each side of the equation. 25 + -25 + 1m = 30 + -25 Combine like terms: 25 + -25 = 0 0 + 1m = 30 + -25 1m = 30 + -25 Combine like terms: 30 + -25 = 5 1m = 5 Divide each side by '1'. m = 5 Simplifying m = 5
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