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Simplifying -1(5k + 3) + 7(4K + 7) = -23 Reorder the terms: -1(3 + 5k) + 7(4K + 7) = -23 (3 * -1 + 5k * -1) + 7(4K + 7) = -23 (-3 + -5k) + 7(4K + 7) = -23 Reorder the terms: -3 + -5k + 7(7 + 4K) = -23 -3 + -5k + (7 * 7 + 4K * 7) = -23 -3 + -5k + (49 + 28K) = -23 Reorder the terms: -3 + 49 + 28K + -5k = -23 Combine like terms: -3 + 49 = 46 46 + 28K + -5k = -23 Solving 46 + 28K + -5k = -23 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + 28K + -46 + -5k = -23 + -46 Reorder the terms: 46 + -46 + 28K + -5k = -23 + -46 Combine like terms: 46 + -46 = 0 0 + 28K + -5k = -23 + -46 28K + -5k = -23 + -46 Combine like terms: -23 + -46 = -69 28K + -5k = -69 Add '5k' to each side of the equation. 28K + -5k + 5k = -69 + 5k Combine like terms: -5k + 5k = 0 28K + 0 = -69 + 5k 28K = -69 + 5k Divide each side by '28'. K = -2.464285714 + 0.1785714286k Simplifying K = -2.464285714 + 0.1785714286k
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