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Simplifying K + 39 = -6(5 + -4K) Reorder the terms: 39 + K = -6(5 + -4K) 39 + K = (5 * -6 + -4K * -6) 39 + K = (-30 + 24K) Solving 39 + K = -30 + 24K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-24K' to each side of the equation. 39 + K + -24K = -30 + 24K + -24K Combine like terms: K + -24K = -23K 39 + -23K = -30 + 24K + -24K Combine like terms: 24K + -24K = 0 39 + -23K = -30 + 0 39 + -23K = -30 Add '-39' to each side of the equation. 39 + -39 + -23K = -30 + -39 Combine like terms: 39 + -39 = 0 0 + -23K = -30 + -39 -23K = -30 + -39 Combine like terms: -30 + -39 = -69 -23K = -69 Divide each side by '-23'. K = 3 Simplifying K = 3
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