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Simplifying 2(-1m + 5) = -8 + 7m Reorder the terms: 2(5 + -1m) = -8 + 7m (5 * 2 + -1m * 2) = -8 + 7m (10 + -2m) = -8 + 7m Solving 10 + -2m = -8 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 10 + -2m + -7m = -8 + 7m + -7m Combine like terms: -2m + -7m = -9m 10 + -9m = -8 + 7m + -7m Combine like terms: 7m + -7m = 0 10 + -9m = -8 + 0 10 + -9m = -8 Add '-10' to each side of the equation. 10 + -10 + -9m = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -9m = -8 + -10 -9m = -8 + -10 Combine like terms: -8 + -10 = -18 -9m = -18 Divide each side by '-9'. m = 2 Simplifying m = 2
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