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Simplifying 7n + -8 + 5k + -4n + 4k = 0 Reorder the terms: -8 + 5k + 4k + 7n + -4n = 0 Combine like terms: 5k + 4k = 9k -8 + 9k + 7n + -4n = 0 Combine like terms: 7n + -4n = 3n -8 + 9k + 3n = 0 Solving -8 + 9k + 3n = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 9k + 8 + 3n = 0 + 8 Reorder the terms: -8 + 8 + 9k + 3n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 9k + 3n = 0 + 8 9k + 3n = 0 + 8 Combine like terms: 0 + 8 = 8 9k + 3n = 8 Add '-3n' to each side of the equation. 9k + 3n + -3n = 8 + -3n Combine like terms: 3n + -3n = 0 9k + 0 = 8 + -3n 9k = 8 + -3n Divide each side by '9'. k = 0.8888888889 + -0.3333333333n Simplifying k = 0.8888888889 + -0.3333333333n
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