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Simplifying 9k + 9 + K + -7(3 + K) = 0 9k + 9 + K + (3 * -7 + K * -7) = 0 9k + 9 + K + (-21 + -7K) = 0 Reorder the terms: 9 + -21 + K + -7K + 9k = 0 Combine like terms: 9 + -21 = -12 -12 + K + -7K + 9k = 0 Combine like terms: K + -7K = -6K -12 + -6K + 9k = 0 Solving -12 + -6K + 9k = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -6K + 12 + 9k = 0 + 12 Reorder the terms: -12 + 12 + -6K + 9k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -6K + 9k = 0 + 12 -6K + 9k = 0 + 12 Combine like terms: 0 + 12 = 12 -6K + 9k = 12 Add '-9k' to each side of the equation. -6K + 9k + -9k = 12 + -9k Combine like terms: 9k + -9k = 0 -6K + 0 = 12 + -9k -6K = 12 + -9k Divide each side by '-6'. K = -2 + 1.5k Simplifying K = -2 + 1.5k
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