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Simplifying 5k + -7(-4n + 2k) + 8 = 0 Reorder the terms: 5k + -7(2k + -4n) + 8 = 0 5k + (2k * -7 + -4n * -7) + 8 = 0 5k + (-14k + 28n) + 8 = 0 Reorder the terms: 8 + 5k + -14k + 28n = 0 Combine like terms: 5k + -14k = -9k 8 + -9k + 28n = 0 Solving 8 + -9k + 28n = 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 + 28n = 0 + -8 Reorder the terms: 8 + -8 + -9k + 28n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9k + 28n = 0 + -8 -9k + 28n = 0 + -8 Combine like terms: 0 + -8 = -8 -9k + 28n = -8 Add '-28n' to each side of the equation. -9k + 28n + -28n = -8 + -28n Combine like terms: 28n + -28n = 0 -9k + 0 = -8 + -28n -9k = -8 + -28n Divide each side by '-9'. k = 0.8888888889 + 3.111111111n Simplifying k = 0.8888888889 + 3.111111111n
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