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Simplifying 8v + -5k = 4k + 71 Reorder the terms: -5k + 8v = 4k + 71 Reorder the terms: -5k + 8v = 71 + 4k Solving -5k + 8v = 71 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -5k + -4k + 8v = 71 + 4k + -4k Combine like terms: -5k + -4k = -9k -9k + 8v = 71 + 4k + -4k Combine like terms: 4k + -4k = 0 -9k + 8v = 71 + 0 -9k + 8v = 71 Add '-8v' to each side of the equation. -9k + 8v + -8v = 71 + -8v Combine like terms: 8v + -8v = 0 -9k + 0 = 71 + -8v -9k = 71 + -8v Divide each side by '-9'. k = -7.888888889 + 0.8888888889v Simplifying k = -7.888888889 + 0.8888888889v
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