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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 Remove parenthesis around (-1m) -11 + 5m + 3n + [n + 5 + -1 * -1m + -3n + 8] = 0 Multiply -1 * -1 -11 + 5m + 3n + [n + 5 + 1m + -3n + 8] = 0 Reorder the terms: -11 + 5m + 3n + [5 + 8 + 1m + n + -3n] = 0 Combine like terms: 5 + 8 = 13 -11 + 5m + 3n + [13 + 1m + n + -3n] = 0 Combine like terms: n + -3n = -2n -11 + 5m + 3n + [13 + 1m + -2n] = 0 Remove brackets around [13 + 1m + -2n] -11 + 5m + 3n + 13 + 1m + -2n = 0 Reorder the terms: -11 + 13 + 5m + 1m + 3n + -2n = 0 Combine like terms: -11 + 13 = 2 2 + 5m + 1m + 3n + -2n = 0 Combine like terms: 5m + 1m = 6m 2 + 6m + 3n + -2n = 0 Combine like terms: 3n + -2n = 1n 2 + 6m + 1n = 0 Solving 2 + 6m + 1n = 0 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 + 1n = 0 + -2 Reorder the terms: 2 + -2 + 6m + 1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6m + 1n = 0 + -2 6m + 1n = 0 + -2 Combine like terms: 0 + -2 = -2 6m + 1n = -2 Add '-1n' to each side of the equation. 6m + 1n + -1n = -2 + -1n Combine like terms: 1n + -1n = 0 6m + 0 = -2 + -1n 6m = -2 + -1n Divide each side by '6'. m = -0.3333333333 + -0.1666666667n Simplifying m = -0.3333333333 + -0.1666666667n
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