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Simplifying 17 + -1(2m + 3) = 3 + 3m + -14 Reorder the terms: 17 + -1(3 + 2m) = 3 + 3m + -14 17 + (3 * -1 + 2m * -1) = 3 + 3m + -14 17 + (-3 + -2m) = 3 + 3m + -14 Combine like terms: 17 + -3 = 14 14 + -2m = 3 + 3m + -14 Reorder the terms: 14 + -2m = 3 + -14 + 3m Combine like terms: 3 + -14 = -11 14 + -2m = -11 + 3m Solving 14 + -2m = -11 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 14 + -2m + -3m = -11 + 3m + -3m Combine like terms: -2m + -3m = -5m 14 + -5m = -11 + 3m + -3m Combine like terms: 3m + -3m = 0 14 + -5m = -11 + 0 14 + -5m = -11 Add '-14' to each side of the equation. 14 + -14 + -5m = -11 + -14 Combine like terms: 14 + -14 = 0 0 + -5m = -11 + -14 -5m = -11 + -14 Combine like terms: -11 + -14 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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