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Simplifying 9(2k + 3) = 11(k + -1y) Reorder the terms: 9(3 + 2k) = 11(k + -1y) (3 * 9 + 2k * 9) = 11(k + -1y) (27 + 18k) = 11(k + -1y) 27 + 18k = (k * 11 + -1y * 11) 27 + 18k = (11k + -11y) Solving 27 + 18k = 11k + -11y 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. 27 + 18k + -11k = 11k + -11k + -11y Combine like terms: 18k + -11k = 7k 27 + 7k = 11k + -11k + -11y Combine like terms: 11k + -11k = 0 27 + 7k = 0 + -11y 27 + 7k = -11y Add '-27' to each side of the equation. 27 + -27 + 7k = -27 + -11y Combine like terms: 27 + -27 = 0 0 + 7k = -27 + -11y 7k = -27 + -11y Divide each side by '7'. k = -3.857142857 + -1.571428571y Simplifying k = -3.857142857 + -1.571428571y
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