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Simplifying 13 + -1(5m + 6) = 2 + 4m + -13 Reorder the terms: 13 + -1(6 + 5m) = 2 + 4m + -13 13 + (6 * -1 + 5m * -1) = 2 + 4m + -13 13 + (-6 + -5m) = 2 + 4m + -13 Combine like terms: 13 + -6 = 7 7 + -5m = 2 + 4m + -13 Reorder the terms: 7 + -5m = 2 + -13 + 4m Combine like terms: 2 + -13 = -11 7 + -5m = -11 + 4m Solving 7 + -5m = -11 + 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. 7 + -5m + -4m = -11 + 4m + -4m Combine like terms: -5m + -4m = -9m 7 + -9m = -11 + 4m + -4m Combine like terms: 4m + -4m = 0 7 + -9m = -11 + 0 7 + -9m = -11 Add '-7' to each side of the equation. 7 + -7 + -9m = -11 + -7 Combine like terms: 7 + -7 = 0 0 + -9m = -11 + -7 -9m = -11 + -7 Combine like terms: -11 + -7 = -18 -9m = -18 Divide each side by '-9'. m = 2 Simplifying m = 2
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