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Simplifying 18 = 2k + 12k + -8k Combine like terms: 2k + 12k = 14k 18 = 14k + -8k Combine like terms: 14k + -8k = 6k 18 = 6k Solving 18 = 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 18 + -6k = 6k + -6k Combine like terms: 6k + -6k = 0 18 + -6k = 0 Add '-18' to each side of the equation. 18 + -18 + -6k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -6k = 0 + -18 -6k = 0 + -18 Combine like terms: 0 + -18 = -18 -6k = -18 Divide each side by '-6'. k = 3 Simplifying k = 3
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