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Simplifying 9(9k + 12n + 6) = 0 Reorder the terms: 9(6 + 9k + 12n) = 0 (6 * 9 + 9k * 9 + 12n * 9) = 0 (54 + 81k + 108n) = 0 Solving 54 + 81k + 108n = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + 81k + -54 + 108n = 0 + -54 Reorder the terms: 54 + -54 + 81k + 108n = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 81k + 108n = 0 + -54 81k + 108n = 0 + -54 Combine like terms: 0 + -54 = -54 81k + 108n = -54 Add '-108n' to each side of the equation. 81k + 108n + -108n = -54 + -108n Combine like terms: 108n + -108n = 0 81k + 0 = -54 + -108n 81k = -54 + -108n Divide each side by '81'. k = -0.6666666667 + -1.333333333n Simplifying k = -0.6666666667 + -1.333333333n
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