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Simplifying 5k + 27 = 2k Reorder the terms: 27 + 5k = 2k Solving 27 + 5k = 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 27 + 5k + -2k = 2k + -2k Combine like terms: 5k + -2k = 3k 27 + 3k = 2k + -2k Combine like terms: 2k + -2k = 0 27 + 3k = 0 Add '-27' to each side of the equation. 27 + -27 + 3k = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 3k = 0 + -27 3k = 0 + -27 Combine like terms: 0 + -27 = -27 3k = -27 Divide each side by '3'. k = -9 Simplifying k = -9
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