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Simplifying 7k + 17 = -20 + 11k + -19 Reorder the terms: 17 + 7k = -20 + 11k + -19 Reorder the terms: 17 + 7k = -20 + -19 + 11k Combine like terms: -20 + -19 = -39 17 + 7k = -39 + 11k Solving 17 + 7k = -39 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 17 + 7k + -11k = -39 + 11k + -11k Combine like terms: 7k + -11k = -4k 17 + -4k = -39 + 11k + -11k Combine like terms: 11k + -11k = 0 17 + -4k = -39 + 0 17 + -4k = -39 Add '-17' to each side of the equation. 17 + -17 + -4k = -39 + -17 Combine like terms: 17 + -17 = 0 0 + -4k = -39 + -17 -4k = -39 + -17 Combine like terms: -39 + -17 = -56 -4k = -56 Divide each side by '-4'. k = 14 Simplifying k = 14
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