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Simplifying 20 + -3 + -11k = -17 + 6k Combine like terms: 20 + -3 = 17 17 + -11k = -17 + 6k Solving 17 + -11k = -17 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 17 + -11k + -6k = -17 + 6k + -6k Combine like terms: -11k + -6k = -17k 17 + -17k = -17 + 6k + -6k Combine like terms: 6k + -6k = 0 17 + -17k = -17 + 0 17 + -17k = -17 Add '-17' to each side of the equation. 17 + -17 + -17k = -17 + -17 Combine like terms: 17 + -17 = 0 0 + -17k = -17 + -17 -17k = -17 + -17 Combine like terms: -17 + -17 = -34 -17k = -34 Divide each side by '-17'. k = 2 Simplifying k = 2
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