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Simplifying 9 + 5k = 45 + 2k Solving 9 + 5k = 45 + 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 = 45 + 2k + -2k Combine like terms: 5k + -2k = 3k 9 + 3k = 45 + 2k + -2k Combine like terms: 2k + -2k = 0 9 + 3k = 45 + 0 9 + 3k = 45 Add '-9' to each side of the equation. 9 + -9 + 3k = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 3k = 45 + -9 3k = 45 + -9 Combine like terms: 45 + -9 = 36 3k = 36 Divide each side by '3'. k = 12 Simplifying k = 12
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