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Simplifying 7(5 + 4K) + 6k = 0 (5 * 7 + 4K * 7) + 6k = 0 (35 + 28K) + 6k = 0 Solving 35 + 28K + 6k = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 28K + -35 + 6k = 0 + -35 Reorder the terms: 35 + -35 + 28K + 6k = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 28K + 6k = 0 + -35 28K + 6k = 0 + -35 Combine like terms: 0 + -35 = -35 28K + 6k = -35 Add '-6k' to each side of the equation. 28K + 6k + -6k = -35 + -6k Combine like terms: 6k + -6k = 0 28K + 0 = -35 + -6k 28K = -35 + -6k Divide each side by '28'. K = -1.25 + -0.2142857143k Simplifying K = -1.25 + -0.2142857143k
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