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Simplifying 7 + 4K + 2(6 + k) = 0 7 + 4K + (6 * 2 + k * 2) = 0 7 + 4K + (12 + 2k) = 0 Reorder the terms: 7 + 12 + 4K + 2k = 0 Combine like terms: 7 + 12 = 19 19 + 4K + 2k = 0 Solving 19 + 4K + 2k = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + 4K + -19 + 2k = 0 + -19 Reorder the terms: 19 + -19 + 4K + 2k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4K + 2k = 0 + -19 4K + 2k = 0 + -19 Combine like terms: 0 + -19 = -19 4K + 2k = -19 Add '-2k' to each side of the equation. 4K + 2k + -2k = -19 + -2k Combine like terms: 2k + -2k = 0 4K + 0 = -19 + -2k 4K = -19 + -2k Divide each side by '4'. K = -4.75 + -0.5k Simplifying K = -4.75 + -0.5k
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