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Simplifying 11 + 9k = 1 + -9k Solving 11 + 9k = 1 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 11 + 9k + 9k = 1 + -9k + 9k Combine like terms: 9k + 9k = 18k 11 + 18k = 1 + -9k + 9k Combine like terms: -9k + 9k = 0 11 + 18k = 1 + 0 11 + 18k = 1 Add '-11' to each side of the equation. 11 + -11 + 18k = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 18k = 1 + -11 18k = 1 + -11 Combine like terms: 1 + -11 = -10 18k = -10 Divide each side by '18'. k = -0.5555555556 Simplifying k = -0.5555555556
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