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Simplifying 9 + 5k = 27 + -1k Solving 9 + 5k = 27 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 9 + 5k + k = 27 + -1k + k Combine like terms: 5k + k = 6k 9 + 6k = 27 + -1k + k Combine like terms: -1k + k = 0 9 + 6k = 27 + 0 9 + 6k = 27 Add '-9' to each side of the equation. 9 + -9 + 6k = 27 + -9 Combine like terms: 9 + -9 = 0 0 + 6k = 27 + -9 6k = 27 + -9 Combine like terms: 27 + -9 = 18 6k = 18 Divide each side by '6'. k = 3 Simplifying k = 3
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