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Simplifying (12n + 9m + 4) + -1(3n + 11m + 1) = 0 Reorder the terms: (4 + 9m + 12n) + -1(3n + 11m + 1) = 0 Remove parenthesis around (4 + 9m + 12n) 4 + 9m + 12n + -1(3n + 11m + 1) = 0 Reorder the terms: 4 + 9m + 12n + -1(1 + 11m + 3n) = 0 4 + 9m + 12n + (1 * -1 + 11m * -1 + 3n * -1) = 0 4 + 9m + 12n + (-1 + -11m + -3n) = 0 Reorder the terms: 4 + -1 + 9m + -11m + 12n + -3n = 0 Combine like terms: 4 + -1 = 3 3 + 9m + -11m + 12n + -3n = 0 Combine like terms: 9m + -11m = -2m 3 + -2m + 12n + -3n = 0 Combine like terms: 12n + -3n = 9n 3 + -2m + 9n = 0 Solving 3 + -2m + 9n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -2m + -3 + 9n = 0 + -3 Reorder the terms: 3 + -3 + -2m + 9n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m + 9n = 0 + -3 -2m + 9n = 0 + -3 Combine like terms: 0 + -3 = -3 -2m + 9n = -3 Add '-9n' to each side of the equation. -2m + 9n + -9n = -3 + -9n Combine like terms: 9n + -9n = 0 -2m + 0 = -3 + -9n -2m = -3 + -9n Divide each side by '-2'. m = 1.5 + 4.5n Simplifying m = 1.5 + 4.5n
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