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Simplifying 2(5m + 7) = 3(2m + -1) Reorder the terms: 2(7 + 5m) = 3(2m + -1) (7 * 2 + 5m * 2) = 3(2m + -1) (14 + 10m) = 3(2m + -1) Reorder the terms: 14 + 10m = 3(-1 + 2m) 14 + 10m = (-1 * 3 + 2m * 3) 14 + 10m = (-3 + 6m) Solving 14 + 10m = -3 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 14 + 10m + -6m = -3 + 6m + -6m Combine like terms: 10m + -6m = 4m 14 + 4m = -3 + 6m + -6m Combine like terms: 6m + -6m = 0 14 + 4m = -3 + 0 14 + 4m = -3 Add '-14' to each side of the equation. 14 + -14 + 4m = -3 + -14 Combine like terms: 14 + -14 = 0 0 + 4m = -3 + -14 4m = -3 + -14 Combine like terms: -3 + -14 = -17 4m = -17 Divide each side by '4'. m = -4.25 Simplifying m = -4.25
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