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Simplifying 7k + -2(3K + 1) + -9 = 0 Reorder the terms: 7k + -2(1 + 3K) + -9 = 0 7k + (1 * -2 + 3K * -2) + -9 = 0 7k + (-2 + -6K) + -9 = 0 Reorder the terms: -2 + -9 + -6K + 7k = 0 Combine like terms: -2 + -9 = -11 -11 + -6K + 7k = 0 Solving -11 + -6K + 7k = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '11' to each side of the equation. -11 + -6K + 11 + 7k = 0 + 11 Reorder the terms: -11 + 11 + -6K + 7k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -6K + 7k = 0 + 11 -6K + 7k = 0 + 11 Combine like terms: 0 + 11 = 11 -6K + 7k = 11 Add '-7k' to each side of the equation. -6K + 7k + -7k = 11 + -7k Combine like terms: 7k + -7k = 0 -6K + 0 = 11 + -7k -6K = 11 + -7k Divide each side by '-6'. K = -1.833333333 + 1.166666667k Simplifying K = -1.833333333 + 1.166666667k
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