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Simplifying 5k + -3 + -1k + 12 = 2k Reorder the terms: -3 + 12 + 5k + -1k = 2k Combine like terms: -3 + 12 = 9 9 + 5k + -1k = 2k Combine like terms: 5k + -1k = 4k 9 + 4k = 2k Solving 9 + 4k = 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 + 4k + -2k = 2k + -2k Combine like terms: 4k + -2k = 2k 9 + 2k = 2k + -2k Combine like terms: 2k + -2k = 0 9 + 2k = 0 Add '-9' to each side of the equation. 9 + -9 + 2k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2k = 0 + -9 2k = 0 + -9 Combine like terms: 0 + -9 = -9 2k = -9 Divide each side by '2'. k = -4.5 Simplifying k = -4.5
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