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Simplifying [7m + 3n + -11 + -2m] + [n + 5 + -1(-1m + -3n + 8)] = 0 Reorder the terms: [-11 + 7m + -2m + 3n] + [n + 5 + -1(-1m + -3n + 8)] = 0 Combine like terms: 7m + -2m = 5m [-11 + 5m + 3n] + [n + 5 + -1(-1m + -3n + 8)] = 0 Remove brackets around [-11 + 5m + 3n] -11 + 5m + 3n + [n + 5 + -1(-1m + -3n + 8)] = 0 Reorder the terms: -11 + 5m + 3n + [n + 5 + -1(8 + -1m + -3n)] = 0 -11 + 5m + 3n + [n + 5 + (8 * -1 + -1m * -1 + -3n * -1)] = 0 -11 + 5m + 3n + [n + 5 + (-8 + 1m + 3n)] = 0 Reorder the terms: -11 + 5m + 3n + [5 + -8 + 1m + n + 3n] = 0 Combine like terms: 5 + -8 = -3 -11 + 5m + 3n + [-3 + 1m + n + 3n] = 0 Combine like terms: n + 3n = 4n -11 + 5m + 3n + [-3 + 1m + 4n] = 0 Remove brackets around [-3 + 1m + 4n] -11 + 5m + 3n + -3 + 1m + 4n = 0 Reorder the terms: -11 + -3 + 5m + 1m + 3n + 4n = 0 Combine like terms: -11 + -3 = -14 -14 + 5m + 1m + 3n + 4n = 0 Combine like terms: 5m + 1m = 6m -14 + 6m + 3n + 4n = 0 Combine like terms: 3n + 4n = 7n -14 + 6m + 7n = 0 Solving -14 + 6m + 7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 6m + 14 + 7n = 0 + 14 Reorder the terms: -14 + 14 + 6m + 7n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 6m + 7n = 0 + 14 6m + 7n = 0 + 14 Combine like terms: 0 + 14 = 14 6m + 7n = 14 Add '-7n' to each side of the equation. 6m + 7n + -7n = 14 + -7n Combine like terms: 7n + -7n = 0 6m + 0 = 14 + -7n 6m = 14 + -7n Divide each side by '6'. m = 2.333333333 + -1.166666667n Simplifying m = 2.333333333 + -1.166666667n
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