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Simplifying (9n + 6m) + (7m + 3) + (-2 + -4n) = 0 Reorder the terms: (6m + 9n) + (7m + 3) + (-2 + -4n) = 0 Remove parenthesis around (6m + 9n) 6m + 9n + (7m + 3) + (-2 + -4n) = 0 Reorder the terms: 6m + 9n + (3 + 7m) + (-2 + -4n) = 0 Remove parenthesis around (3 + 7m) 6m + 9n + 3 + 7m + (-2 + -4n) = 0 Remove parenthesis around (-2 + -4n) 6m + 9n + 3 + 7m + -2 + -4n = 0 Reorder the terms: 3 + -2 + 6m + 7m + 9n + -4n = 0 Combine like terms: 3 + -2 = 1 1 + 6m + 7m + 9n + -4n = 0 Combine like terms: 6m + 7m = 13m 1 + 13m + 9n + -4n = 0 Combine like terms: 9n + -4n = 5n 1 + 13m + 5n = 0 Solving 1 + 13m + 5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 13m + -1 + 5n = 0 + -1 Reorder the terms: 1 + -1 + 13m + 5n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 13m + 5n = 0 + -1 13m + 5n = 0 + -1 Combine like terms: 0 + -1 = -1 13m + 5n = -1 Add '-5n' to each side of the equation. 13m + 5n + -5n = -1 + -5n Combine like terms: 5n + -5n = 0 13m + 0 = -1 + -5n 13m = -1 + -5n Divide each side by '13'. m = -0.07692307692 + -0.3846153846n Simplifying m = -0.07692307692 + -0.3846153846n
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