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Simplifying 13 + -1(3m + 6) = 2 + 3m + -13 Reorder the terms: 13 + -1(6 + 3m) = 2 + 3m + -13 13 + (6 * -1 + 3m * -1) = 2 + 3m + -13 13 + (-6 + -3m) = 2 + 3m + -13 Combine like terms: 13 + -6 = 7 7 + -3m = 2 + 3m + -13 Reorder the terms: 7 + -3m = 2 + -13 + 3m Combine like terms: 2 + -13 = -11 7 + -3m = -11 + 3m Solving 7 + -3m = -11 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 7 + -3m + -3m = -11 + 3m + -3m Combine like terms: -3m + -3m = -6m 7 + -6m = -11 + 3m + -3m Combine like terms: 3m + -3m = 0 7 + -6m = -11 + 0 7 + -6m = -11 Add '-7' to each side of the equation. 7 + -7 + -6m = -11 + -7 Combine like terms: 7 + -7 = 0 0 + -6m = -11 + -7 -6m = -11 + -7 Combine like terms: -11 + -7 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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