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Simplifying 6(3 + -1k) + 14 = 14 (3 * 6 + -1k * 6) + 14 = 14 (18 + -6k) + 14 = 14 Reorder the terms: 18 + 14 + -6k = 14 Combine like terms: 18 + 14 = 32 32 + -6k = 14 Solving 32 + -6k = 14 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -6k = 14 + -32 Combine like terms: 32 + -32 = 0 0 + -6k = 14 + -32 -6k = 14 + -32 Combine like terms: 14 + -32 = -18 -6k = -18 Divide each side by '-6'. k = 3 Simplifying k = 3
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