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Simplifying 3(9k + -6) = 25 + -7k Reorder the terms: 3(-6 + 9k) = 25 + -7k (-6 * 3 + 9k * 3) = 25 + -7k (-18 + 27k) = 25 + -7k Solving -18 + 27k = 25 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. -18 + 27k + 7k = 25 + -7k + 7k Combine like terms: 27k + 7k = 34k -18 + 34k = 25 + -7k + 7k Combine like terms: -7k + 7k = 0 -18 + 34k = 25 + 0 -18 + 34k = 25 Add '18' to each side of the equation. -18 + 18 + 34k = 25 + 18 Combine like terms: -18 + 18 = 0 0 + 34k = 25 + 18 34k = 25 + 18 Combine like terms: 25 + 18 = 43 34k = 43 Divide each side by '34'. k = 1.264705882 Simplifying k = 1.264705882
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