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