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Simplifying 71 + -5k = 9k + -13 Reorder the terms: 71 + -5k = -13 + 9k Solving 71 + -5k = -13 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 71 + -5k + -9k = -13 + 9k + -9k Combine like terms: -5k + -9k = -14k 71 + -14k = -13 + 9k + -9k Combine like terms: 9k + -9k = 0 71 + -14k = -13 + 0 71 + -14k = -13 Add '-71' to each side of the equation. 71 + -71 + -14k = -13 + -71 Combine like terms: 71 + -71 = 0 0 + -14k = -13 + -71 -14k = -13 + -71 Combine like terms: -13 + -71 = -84 -14k = -84 Divide each side by '-14'. k = 6 Simplifying k = 6
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