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Simplifying 18 + -1(5m + 8) = 2 + 4m + -19 Reorder the terms: 18 + -1(8 + 5m) = 2 + 4m + -19 18 + (8 * -1 + 5m * -1) = 2 + 4m + -19 18 + (-8 + -5m) = 2 + 4m + -19 Combine like terms: 18 + -8 = 10 10 + -5m = 2 + 4m + -19 Reorder the terms: 10 + -5m = 2 + -19 + 4m Combine like terms: 2 + -19 = -17 10 + -5m = -17 + 4m Solving 10 + -5m = -17 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 10 + -5m + -4m = -17 + 4m + -4m Combine like terms: -5m + -4m = -9m 10 + -9m = -17 + 4m + -4m Combine like terms: 4m + -4m = 0 10 + -9m = -17 + 0 10 + -9m = -17 Add '-10' to each side of the equation. 10 + -10 + -9m = -17 + -10 Combine like terms: 10 + -10 = 0 0 + -9m = -17 + -10 -9m = -17 + -10 Combine like terms: -17 + -10 = -27 -9m = -27 Divide each side by '-9'. m = 3 Simplifying m = 3
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