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Simplifying 12 + 5k = 2k + 39 Reorder the terms: 12 + 5k = 39 + 2k Solving 12 + 5k = 39 + 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. 12 + 5k + -2k = 39 + 2k + -2k Combine like terms: 5k + -2k = 3k 12 + 3k = 39 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + 3k = 39 + 0 12 + 3k = 39 Add '-12' to each side of the equation. 12 + -12 + 3k = 39 + -12 Combine like terms: 12 + -12 = 0 0 + 3k = 39 + -12 3k = 39 + -12 Combine like terms: 39 + -12 = 27 3k = 27 Divide each side by '3'. k = 9 Simplifying k = 9
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