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Simplifying 14k + 3(6 + -2k) = 12 14k + (6 * 3 + -2k * 3) = 12 14k + (18 + -6k) = 12 Reorder the terms: 18 + 14k + -6k = 12 Combine like terms: 14k + -6k = 8k 18 + 8k = 12 Solving 18 + 8k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 8k = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 8k = 12 + -18 8k = 12 + -18 Combine like terms: 12 + -18 = -6 8k = -6 Divide each side by '8'. k = -0.75 Simplifying k = -0.75
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