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Simplifying 18 + -1(2m + 8) = 2 + 3m + -17 Reorder the terms: 18 + -1(8 + 2m) = 2 + 3m + -17 18 + (8 * -1 + 2m * -1) = 2 + 3m + -17 18 + (-8 + -2m) = 2 + 3m + -17 Combine like terms: 18 + -8 = 10 10 + -2m = 2 + 3m + -17 Reorder the terms: 10 + -2m = 2 + -17 + 3m Combine like terms: 2 + -17 = -15 10 + -2m = -15 + 3m Solving 10 + -2m = -15 + 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. 10 + -2m + -3m = -15 + 3m + -3m Combine like terms: -2m + -3m = -5m 10 + -5m = -15 + 3m + -3m Combine like terms: 3m + -3m = 0 10 + -5m = -15 + 0 10 + -5m = -15 Add '-10' to each side of the equation. 10 + -10 + -5m = -15 + -10 Combine like terms: 10 + -10 = 0 0 + -5m = -15 + -10 -5m = -15 + -10 Combine like terms: -15 + -10 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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