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Simplifying 9 + 5k = 36 + 2k Solving 9 + 5k = 36 + 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. 9 + 5k + -2k = 36 + 2k + -2k Combine like terms: 5k + -2k = 3k 9 + 3k = 36 + 2k + -2k Combine like terms: 2k + -2k = 0 9 + 3k = 36 + 0 9 + 3k = 36 Add '-9' to each side of the equation. 9 + -9 + 3k = 36 + -9 Combine like terms: 9 + -9 = 0 0 + 3k = 36 + -9 3k = 36 + -9 Combine like terms: 36 + -9 = 27 3k = 27 Divide each side by '3'. k = 9 Simplifying k = 9
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