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Simplifying -8 = 3(3 + -7k) + -6k -8 = (3 * 3 + -7k * 3) + -6k -8 = (9 + -21k) + -6k Combine like terms: -21k + -6k = -27k -8 = 9 + -27k Solving -8 = 9 + -27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27k' to each side of the equation. -8 + 27k = 9 + -27k + 27k Combine like terms: -27k + 27k = 0 -8 + 27k = 9 + 0 -8 + 27k = 9 Add '8' to each side of the equation. -8 + 8 + 27k = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 27k = 9 + 8 27k = 9 + 8 Combine like terms: 9 + 8 = 17 27k = 17 Divide each side by '27'. k = 0.6296296296 Simplifying k = 0.6296296296
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