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Simplifying 18 + -1(2m + 5) = 2 + 3m + -19 Reorder the terms: 18 + -1(5 + 2m) = 2 + 3m + -19 18 + (5 * -1 + 2m * -1) = 2 + 3m + -19 18 + (-5 + -2m) = 2 + 3m + -19 Combine like terms: 18 + -5 = 13 13 + -2m = 2 + 3m + -19 Reorder the terms: 13 + -2m = 2 + -19 + 3m Combine like terms: 2 + -19 = -17 13 + -2m = -17 + 3m Solving 13 + -2m = -17 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 13 + -2m + -3m = -17 + 3m + -3m Combine like terms: -2m + -3m = -5m 13 + -5m = -17 + 3m + -3m Combine like terms: 3m + -3m = 0 13 + -5m = -17 + 0 13 + -5m = -17 Add '-13' to each side of the equation. 13 + -13 + -5m = -17 + -13 Combine like terms: 13 + -13 = 0 0 + -5m = -17 + -13 -5m = -17 + -13 Combine like terms: -17 + -13 = -30 -5m = -30 Divide each side by '-5'. m = 6 Simplifying m = 6
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