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Simplifying 2(n + 3) + -1(4 + -6m) = 7n Reorder the terms: 2(3 + n) + -1(4 + -6m) = 7n (3 * 2 + n * 2) + -1(4 + -6m) = 7n (6 + 2n) + -1(4 + -6m) = 7n 6 + 2n + (4 * -1 + -6m * -1) = 7n 6 + 2n + (-4 + 6m) = 7n Reorder the terms: 6 + -4 + 6m + 2n = 7n Combine like terms: 6 + -4 = 2 2 + 6m + 2n = 7n Solving 2 + 6m + 2n = 7n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 6m + -2 + 2n = -2 + 7n Reorder the terms: 2 + -2 + 6m + 2n = -2 + 7n Combine like terms: 2 + -2 = 0 0 + 6m + 2n = -2 + 7n 6m + 2n = -2 + 7n Add '-2n' to each side of the equation. 6m + 2n + -2n = -2 + 7n + -2n Combine like terms: 2n + -2n = 0 6m + 0 = -2 + 7n + -2n 6m = -2 + 7n + -2n Combine like terms: 7n + -2n = 5n 6m = -2 + 5n Divide each side by '6'. m = -0.3333333333 + 0.8333333333n Simplifying m = -0.3333333333 + 0.8333333333n
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