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Simplifying 2m + -1(5 + -1m) = 13 + 2m 2m + (5 * -1 + -1m * -1) = 13 + 2m 2m + (-5 + 1m) = 13 + 2m Reorder the terms: -5 + 2m + 1m = 13 + 2m Combine like terms: 2m + 1m = 3m -5 + 3m = 13 + 2m Solving -5 + 3m = 13 + 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 + 3m + -2m = 13 + 2m + -2m Combine like terms: 3m + -2m = 1m -5 + 1m = 13 + 2m + -2m Combine like terms: 2m + -2m = 0 -5 + 1m = 13 + 0 -5 + 1m = 13 Add '5' to each side of the equation. -5 + 5 + 1m = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 1m = 13 + 5 1m = 13 + 5 Combine like terms: 13 + 5 = 18 1m = 18 Divide each side by '1'. m = 18 Simplifying m = 18
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