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Simplifying 19 + -1(5m + 6) = 3 + 4m + -17 Reorder the terms: 19 + -1(6 + 5m) = 3 + 4m + -17 19 + (6 * -1 + 5m * -1) = 3 + 4m + -17 19 + (-6 + -5m) = 3 + 4m + -17 Combine like terms: 19 + -6 = 13 13 + -5m = 3 + 4m + -17 Reorder the terms: 13 + -5m = 3 + -17 + 4m Combine like terms: 3 + -17 = -14 13 + -5m = -14 + 4m Solving 13 + -5m = -14 + 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. 13 + -5m + -4m = -14 + 4m + -4m Combine like terms: -5m + -4m = -9m 13 + -9m = -14 + 4m + -4m Combine like terms: 4m + -4m = 0 13 + -9m = -14 + 0 13 + -9m = -14 Add '-13' to each side of the equation. 13 + -13 + -9m = -14 + -13 Combine like terms: 13 + -13 = 0 0 + -9m = -14 + -13 -9m = -14 + -13 Combine like terms: -14 + -13 = -27 -9m = -27 Divide each side by '-9'. m = 3 Simplifying m = 3
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