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Simplifying 5k + 2 + -2k = 12 Reorder the terms: 2 + 5k + -2k = 12 Combine like terms: 5k + -2k = 3k 2 + 3k = 12 Solving 2 + 3k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3k = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 3k = 12 + -2 3k = 12 + -2 Combine like terms: 12 + -2 = 10 3k = 10 Divide each side by '3'. k = 3.333333333 Simplifying k = 3.333333333
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