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Simplifying (-3m + -3) + (4n + 9m) + (4 + 8n) = 0 Reorder the terms: (-3 + -3m) + (4n + 9m) + (4 + 8n) = 0 Remove parenthesis around (-3 + -3m) -3 + -3m + (4n + 9m) + (4 + 8n) = 0 Reorder the terms: -3 + -3m + (9m + 4n) + (4 + 8n) = 0 Remove parenthesis around (9m + 4n) -3 + -3m + 9m + 4n + (4 + 8n) = 0 Remove parenthesis around (4 + 8n) -3 + -3m + 9m + 4n + 4 + 8n = 0 Reorder the terms: -3 + 4 + -3m + 9m + 4n + 8n = 0 Combine like terms: -3 + 4 = 1 1 + -3m + 9m + 4n + 8n = 0 Combine like terms: -3m + 9m = 6m 1 + 6m + 4n + 8n = 0 Combine like terms: 4n + 8n = 12n 1 + 6m + 12n = 0 Solving 1 + 6m + 12n = 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 + 6m + -1 + 12n = 0 + -1 Reorder the terms: 1 + -1 + 6m + 12n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6m + 12n = 0 + -1 6m + 12n = 0 + -1 Combine like terms: 0 + -1 = -1 6m + 12n = -1 Add '-12n' to each side of the equation. 6m + 12n + -12n = -1 + -12n Combine like terms: 12n + -12n = 0 6m + 0 = -1 + -12n 6m = -1 + -12n Divide each side by '6'. m = -0.1666666667 + -2n Simplifying m = -0.1666666667 + -2n
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