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Simplifying 15 + -1(5m + 5) = 3 + 4m + -11 Reorder the terms: 15 + -1(5 + 5m) = 3 + 4m + -11 15 + (5 * -1 + 5m * -1) = 3 + 4m + -11 15 + (-5 + -5m) = 3 + 4m + -11 Combine like terms: 15 + -5 = 10 10 + -5m = 3 + 4m + -11 Reorder the terms: 10 + -5m = 3 + -11 + 4m Combine like terms: 3 + -11 = -8 10 + -5m = -8 + 4m Solving 10 + -5m = -8 + 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. 10 + -5m + -4m = -8 + 4m + -4m Combine like terms: -5m + -4m = -9m 10 + -9m = -8 + 4m + -4m Combine like terms: 4m + -4m = 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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