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Simplifying 19 + -1(5m + 4) = 5 + 4m + -17 Reorder the terms: 19 + -1(4 + 5m) = 5 + 4m + -17 19 + (4 * -1 + 5m * -1) = 5 + 4m + -17 19 + (-4 + -5m) = 5 + 4m + -17 Combine like terms: 19 + -4 = 15 15 + -5m = 5 + 4m + -17 Reorder the terms: 15 + -5m = 5 + -17 + 4m Combine like terms: 5 + -17 = -12 15 + -5m = -12 + 4m Solving 15 + -5m = -12 + 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. 15 + -5m + -4m = -12 + 4m + -4m Combine like terms: -5m + -4m = -9m 15 + -9m = -12 + 4m + -4m Combine like terms: 4m + -4m = 0 15 + -9m = -12 + 0 15 + -9m = -12 Add '-15' to each side of the equation. 15 + -15 + -9m = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -9m = -12 + -15 -9m = -12 + -15 Combine like terms: -12 + -15 = -27 -9m = -27 Divide each side by '-9'. m = 3 Simplifying m = 3
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