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Simplifying 6(K + -9) + -1(5k + 4) = -5 Reorder the terms: 6(-9 + K) + -1(5k + 4) = -5 (-9 * 6 + K * 6) + -1(5k + 4) = -5 (-54 + 6K) + -1(5k + 4) = -5 Reorder the terms: -54 + 6K + -1(4 + 5k) = -5 -54 + 6K + (4 * -1 + 5k * -1) = -5 -54 + 6K + (-4 + -5k) = -5 Reorder the terms: -54 + -4 + 6K + -5k = -5 Combine like terms: -54 + -4 = -58 -58 + 6K + -5k = -5 Solving -58 + 6K + -5k = -5 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 6K + 58 + -5k = -5 + 58 Reorder the terms: -58 + 58 + 6K + -5k = -5 + 58 Combine like terms: -58 + 58 = 0 0 + 6K + -5k = -5 + 58 6K + -5k = -5 + 58 Combine like terms: -5 + 58 = 53 6K + -5k = 53 Add '5k' to each side of the equation. 6K + -5k + 5k = 53 + 5k Combine like terms: -5k + 5k = 0 6K + 0 = 53 + 5k 6K = 53 + 5k Divide each side by '6'. K = 8.833333333 + 0.8333333333k Simplifying K = 8.833333333 + 0.8333333333k
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