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Simplifying 2 + -5k = 4k + 71 Reorder the terms: 2 + -5k = 71 + 4k Solving 2 + -5k = 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. 2 + -5k + -4k = 71 + 4k + -4k Combine like terms: -5k + -4k = -9k 2 + -9k = 71 + 4k + -4k Combine like terms: 4k + -4k = 0 2 + -9k = 71 + 0 2 + -9k = 71 Add '-2' to each side of the equation. 2 + -2 + -9k = 71 + -2 Combine like terms: 2 + -2 = 0 0 + -9k = 71 + -2 -9k = 71 + -2 Combine like terms: 71 + -2 = 69 -9k = 69 Divide each side by '-9'. k = -7.666666667 Simplifying k = -7.666666667
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