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Simplifying 17 + -1(5m + 6) = 3 + 4m + -19 Reorder the terms: 17 + -1(6 + 5m) = 3 + 4m + -19 17 + (6 * -1 + 5m * -1) = 3 + 4m + -19 17 + (-6 + -5m) = 3 + 4m + -19 Combine like terms: 17 + -6 = 11 11 + -5m = 3 + 4m + -19 Reorder the terms: 11 + -5m = 3 + -19 + 4m Combine like terms: 3 + -19 = -16 11 + -5m = -16 + 4m Solving 11 + -5m = -16 + 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. 11 + -5m + -4m = -16 + 4m + -4m Combine like terms: -5m + -4m = -9m 11 + -9m = -16 + 4m + -4m Combine like terms: 4m + -4m = 0 11 + -9m = -16 + 0 11 + -9m = -16 Add '-11' to each side of the equation. 11 + -11 + -9m = -16 + -11 Combine like terms: 11 + -11 = 0 0 + -9m = -16 + -11 -9m = -16 + -11 Combine like terms: -16 + -11 = -27 -9m = -27 Divide each side by '-9'. m = 3 Simplifying m = 3
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