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Simplifying 14K + 2(3k + 6) = 0 Reorder the terms: 14K + 2(6 + 3k) = 0 14K + (6 * 2 + 3k * 2) = 0 14K + (12 + 6k) = 0 Reorder the terms: 12 + 14K + 6k = 0 Solving 12 + 14K + 6k = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 14K + -12 + 6k = 0 + -12 Reorder the terms: 12 + -12 + 14K + 6k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 14K + 6k = 0 + -12 14K + 6k = 0 + -12 Combine like terms: 0 + -12 = -12 14K + 6k = -12 Add '-6k' to each side of the equation. 14K + 6k + -6k = -12 + -6k Combine like terms: 6k + -6k = 0 14K + 0 = -12 + -6k 14K = -12 + -6k Divide each side by '14'. K = -0.8571428571 + -0.4285714286k Simplifying K = -0.8571428571 + -0.4285714286k
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