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Simplifying -9(6m + -3) + 2(n + 3) = 0 Reorder the terms: -9(-3 + 6m) + 2(n + 3) = 0 (-3 * -9 + 6m * -9) + 2(n + 3) = 0 (27 + -54m) + 2(n + 3) = 0 Reorder the terms: 27 + -54m + 2(3 + n) = 0 27 + -54m + (3 * 2 + n * 2) = 0 27 + -54m + (6 + 2n) = 0 Reorder the terms: 27 + 6 + -54m + 2n = 0 Combine like terms: 27 + 6 = 33 33 + -54m + 2n = 0 Solving 33 + -54m + 2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -54m + -33 + 2n = 0 + -33 Reorder the terms: 33 + -33 + -54m + 2n = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -54m + 2n = 0 + -33 -54m + 2n = 0 + -33 Combine like terms: 0 + -33 = -33 -54m + 2n = -33 Add '-2n' to each side of the equation. -54m + 2n + -2n = -33 + -2n Combine like terms: 2n + -2n = 0 -54m + 0 = -33 + -2n -54m = -33 + -2n Divide each side by '-54'. m = 0.6111111111 + 0.03703703704n Simplifying m = 0.6111111111 + 0.03703703704n
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