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Simplifying 7k + -1(4 + -3K) = 9 7k + (4 * -1 + -3K * -1) = 9 7k + (-4 + 3K) = 9 Reorder the terms: -4 + 3K + 7k = 9 Solving -4 + 3K + 7k = 9 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3K + 4 + 7k = 9 + 4 Reorder the terms: -4 + 4 + 3K + 7k = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 3K + 7k = 9 + 4 3K + 7k = 9 + 4 Combine like terms: 9 + 4 = 13 3K + 7k = 13 Add '-7k' to each side of the equation. 3K + 7k + -7k = 13 + -7k Combine like terms: 7k + -7k = 0 3K + 0 = 13 + -7k 3K = 13 + -7k Divide each side by '3'. K = 4.333333333 + -2.333333333k Simplifying K = 4.333333333 + -2.333333333k
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