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Simplifying 9k + -1(7 + K) = -1(3k + 7) 9k + (7 * -1 + K * -1) = -1(3k + 7) 9k + (-7 + -1K) = -1(3k + 7) Reorder the terms: -7 + -1K + 9k = -1(3k + 7) Reorder the terms: -7 + -1K + 9k = -1(7 + 3k) -7 + -1K + 9k = (7 * -1 + 3k * -1) -7 + -1K + 9k = (-7 + -3k) Add '7' to each side of the equation. -7 + -1K + 7 + 9k = -7 + 7 + -3k Reorder the terms: -7 + 7 + -1K + 9k = -7 + 7 + -3k Combine like terms: -7 + 7 = 0 0 + -1K + 9k = -7 + 7 + -3k -1K + 9k = -7 + 7 + -3k Combine like terms: -7 + 7 = 0 -1K + 9k = 0 + -3k -1K + 9k = -3k Solving -1K + 9k = -3k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-9k' to each side of the equation. -1K + 9k + -9k = -3k + -9k Combine like terms: 9k + -9k = 0 -1K + 0 = -3k + -9k -1K = -3k + -9k Combine like terms: -3k + -9k = -12k -1K = -12k Divide each side by '-1'. K = 12k Simplifying K = 12k
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