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Simplifying 12k = 10 + -2k + 32 Reorder the terms: 12k = 10 + 32 + -2k Combine like terms: 10 + 32 = 42 12k = 42 + -2k Solving 12k = 42 + -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. 12k + 2k = 42 + -2k + 2k Combine like terms: 12k + 2k = 14k 14k = 42 + -2k + 2k Combine like terms: -2k + 2k = 0 14k = 42 + 0 14k = 42 Divide each side by '14'. k = 3 Simplifying k = 3
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