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Simplifying 2(3k + 1) + -1k = 18 Reorder the terms: 2(1 + 3k) + -1k = 18 (1 * 2 + 3k * 2) + -1k = 18 (2 + 6k) + -1k = 18 Combine like terms: 6k + -1k = 5k 2 + 5k = 18 Solving 2 + 5k = 18 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 + 5k = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 5k = 18 + -2 5k = 18 + -2 Combine like terms: 18 + -2 = 16 5k = 16 Divide each side by '5'. k = 3.2 Simplifying k = 3.2
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