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Simplifying 15 + -1(5m + 7) = 4 + 4m + -14 Reorder the terms: 15 + -1(7 + 5m) = 4 + 4m + -14 15 + (7 * -1 + 5m * -1) = 4 + 4m + -14 15 + (-7 + -5m) = 4 + 4m + -14 Combine like terms: 15 + -7 = 8 8 + -5m = 4 + 4m + -14 Reorder the terms: 8 + -5m = 4 + -14 + 4m Combine like terms: 4 + -14 = -10 8 + -5m = -10 + 4m Solving 8 + -5m = -10 + 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. 8 + -5m + -4m = -10 + 4m + -4m Combine like terms: -5m + -4m = -9m 8 + -9m = -10 + 4m + -4m Combine like terms: 4m + -4m = 0 8 + -9m = -10 + 0 8 + -9m = -10 Add '-8' to each side of the equation. 8 + -8 + -9m = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -9m = -10 + -8 -9m = -10 + -8 Combine like terms: -10 + -8 = -18 -9m = -18 Divide each side by '-9'. m = 2 Simplifying m = 2
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