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Simplifying 8 + -5k = 4k + 71 Reorder the terms: 8 + -5k = 71 + 4k Solving 8 + -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. 8 + -5k + -4k = 71 + 4k + -4k Combine like terms: -5k + -4k = -9k 8 + -9k = 71 + 4k + -4k Combine like terms: 4k + -4k = 0 8 + -9k = 71 + 0 8 + -9k = 71 Add '-8' to each side of the equation. 8 + -8 + -9k = 71 + -8 Combine like terms: 8 + -8 = 0 0 + -9k = 71 + -8 -9k = 71 + -8 Combine like terms: 71 + -8 = 63 -9k = 63 Divide each side by '-9'. k = -7 Simplifying k = -7
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