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Simplifying -5(2m + -1) = 9m + -14 Reorder the terms: -5(-1 + 2m) = 9m + -14 (-1 * -5 + 2m * -5) = 9m + -14 (5 + -10m) = 9m + -14 Reorder the terms: 5 + -10m = -14 + 9m Solving 5 + -10m = -14 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 5 + -10m + -9m = -14 + 9m + -9m Combine like terms: -10m + -9m = -19m 5 + -19m = -14 + 9m + -9m Combine like terms: 9m + -9m = 0 5 + -19m = -14 + 0 5 + -19m = -14 Add '-5' to each side of the equation. 5 + -5 + -19m = -14 + -5 Combine like terms: 5 + -5 = 0 0 + -19m = -14 + -5 -19m = -14 + -5 Combine like terms: -14 + -5 = -19 -19m = -19 Divide each side by '-19'. m = 1 Simplifying m = 1
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