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Simplifying 17 + -1(3m + 8) = 5 + 3m + -14 Reorder the terms: 17 + -1(8 + 3m) = 5 + 3m + -14 17 + (8 * -1 + 3m * -1) = 5 + 3m + -14 17 + (-8 + -3m) = 5 + 3m + -14 Combine like terms: 17 + -8 = 9 9 + -3m = 5 + 3m + -14 Reorder the terms: 9 + -3m = 5 + -14 + 3m Combine like terms: 5 + -14 = -9 9 + -3m = -9 + 3m Solving 9 + -3m = -9 + 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. 9 + -3m + -3m = -9 + 3m + -3m Combine like terms: -3m + -3m = -6m 9 + -6m = -9 + 3m + -3m Combine like terms: 3m + -3m = 0 9 + -6m = -9 + 0 9 + -6m = -9 Add '-9' to each side of the equation. 9 + -9 + -6m = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -6m = -9 + -9 -6m = -9 + -9 Combine like terms: -9 + -9 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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