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Simplifying 5 + -9K + 1 + 1K + -2(7 + -1K) = 0 5 + -9K + 1 + 1K + (7 * -2 + -1K * -2) = 0 5 + -9K + 1 + 1K + (-14 + 2K) = 0 Reorder the terms: 5 + 1 + -14 + -9K + 1K + 2K = 0 Combine like terms: 5 + 1 = 6 6 + -14 + -9K + 1K + 2K = 0 Combine like terms: 6 + -14 = -8 -8 + -9K + 1K + 2K = 0 Combine like terms: -9K + 1K = -8K -8 + -8K + 2K = 0 Combine like terms: -8K + 2K = -6K -8 + -6K = 0 Solving -8 + -6K = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -6K = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -6K = 0 + 8 -6K = 0 + 8 Combine like terms: 0 + 8 = 8 -6K = 8 Divide each side by '-6'. K = -1.333333333 Simplifying K = -1.333333333
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