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Simplifying -1(1 + 2m) = 5(-3m + 5) (1 * -1 + 2m * -1) = 5(-3m + 5) (-1 + -2m) = 5(-3m + 5) Reorder the terms: -1 + -2m = 5(5 + -3m) -1 + -2m = (5 * 5 + -3m * 5) -1 + -2m = (25 + -15m) Solving -1 + -2m = 25 + -15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15m' to each side of the equation. -1 + -2m + 15m = 25 + -15m + 15m Combine like terms: -2m + 15m = 13m -1 + 13m = 25 + -15m + 15m Combine like terms: -15m + 15m = 0 -1 + 13m = 25 + 0 -1 + 13m = 25 Add '1' to each side of the equation. -1 + 1 + 13m = 25 + 1 Combine like terms: -1 + 1 = 0 0 + 13m = 25 + 1 13m = 25 + 1 Combine like terms: 25 + 1 = 26 13m = 26 Divide each side by '13'. m = 2 Simplifying m = 2
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