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Simplifying 14 + -1(6n + -1m) + -3(n + 9) + 5m = 0 Reorder the terms: 14 + -1(-1m + 6n) + -3(n + 9) + 5m = 0 14 + (-1m * -1 + 6n * -1) + -3(n + 9) + 5m = 0 14 + (1m + -6n) + -3(n + 9) + 5m = 0 Reorder the terms: 14 + 1m + -6n + -3(9 + n) + 5m = 0 14 + 1m + -6n + (9 * -3 + n * -3) + 5m = 0 14 + 1m + -6n + (-27 + -3n) + 5m = 0 Reorder the terms: 14 + -27 + 1m + 5m + -6n + -3n = 0 Combine like terms: 14 + -27 = -13 -13 + 1m + 5m + -6n + -3n = 0 Combine like terms: 1m + 5m = 6m -13 + 6m + -6n + -3n = 0 Combine like terms: -6n + -3n = -9n -13 + 6m + -9n = 0 Solving -13 + 6m + -9n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 6m + 13 + -9n = 0 + 13 Reorder the terms: -13 + 13 + 6m + -9n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 6m + -9n = 0 + 13 6m + -9n = 0 + 13 Combine like terms: 0 + 13 = 13 6m + -9n = 13 Add '9n' to each side of the equation. 6m + -9n + 9n = 13 + 9n Combine like terms: -9n + 9n = 0 6m + 0 = 13 + 9n 6m = 13 + 9n Divide each side by '6'. m = 2.166666667 + 1.5n Simplifying m = 2.166666667 + 1.5n
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