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Simplifying 17 + -3(-6k + -20) = 7k Reorder the terms: 17 + -3(-20 + -6k) = 7k 17 + (-20 * -3 + -6k * -3) = 7k 17 + (60 + 18k) = 7k Combine like terms: 17 + 60 = 77 77 + 18k = 7k Solving 77 + 18k = 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. 77 + 18k + -7k = 7k + -7k Combine like terms: 18k + -7k = 11k 77 + 11k = 7k + -7k Combine like terms: 7k + -7k = 0 77 + 11k = 0 Add '-77' to each side of the equation. 77 + -77 + 11k = 0 + -77 Combine like terms: 77 + -77 = 0 0 + 11k = 0 + -77 11k = 0 + -77 Combine like terms: 0 + -77 = -77 11k = -77 Divide each side by '11'. k = -7 Simplifying k = -7
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