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Simplifying -6(K + 4) = 30(k + 2) Reorder the terms: -6(4 + K) = 30(k + 2) (4 * -6 + K * -6) = 30(k + 2) (-24 + -6K) = 30(k + 2) Reorder the terms: -24 + -6K = 30(2 + k) -24 + -6K = (2 * 30 + k * 30) -24 + -6K = (60 + 30k) Solving -24 + -6K = 60 + 30k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -6K = 60 + 24 + 30k Combine like terms: -24 + 24 = 0 0 + -6K = 60 + 24 + 30k -6K = 60 + 24 + 30k Combine like terms: 60 + 24 = 84 -6K = 84 + 30k Divide each side by '-6'. K = -14 + -5k Simplifying K = -14 + -5k
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