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Simplifying 5n + m + 13 + -2n + 5m + 6 = 0 Reorder the terms: 13 + 6 + m + 5m + 5n + -2n = 0 Combine like terms: 13 + 6 = 19 19 + m + 5m + 5n + -2n = 0 Combine like terms: m + 5m = 6m 19 + 6m + 5n + -2n = 0 Combine like terms: 5n + -2n = 3n 19 + 6m + 3n = 0 Solving 19 + 6m + 3n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + 6m + -19 + 3n = 0 + -19 Reorder the terms: 19 + -19 + 6m + 3n = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 6m + 3n = 0 + -19 6m + 3n = 0 + -19 Combine like terms: 0 + -19 = -19 6m + 3n = -19 Add '-3n' to each side of the equation. 6m + 3n + -3n = -19 + -3n Combine like terms: 3n + -3n = 0 6m + 0 = -19 + -3n 6m = -19 + -3n Divide each side by '6'. m = -3.166666667 + -0.5n Simplifying m = -3.166666667 + -0.5n
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