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Simplifying 9(2k + 4) = 11(k + -1y) Reorder the terms: 9(4 + 2k) = 11(k + -1y) (4 * 9 + 2k * 9) = 11(k + -1y) (36 + 18k) = 11(k + -1y) 36 + 18k = (k * 11 + -1y * 11) 36 + 18k = (11k + -11y) Solving 36 + 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. 36 + 18k + -11k = 11k + -11k + -11y Combine like terms: 18k + -11k = 7k 36 + 7k = 11k + -11k + -11y Combine like terms: 11k + -11k = 0 36 + 7k = 0 + -11y 36 + 7k = -11y Add '-36' to each side of the equation. 36 + -36 + 7k = -36 + -11y Combine like terms: 36 + -36 = 0 0 + 7k = -36 + -11y 7k = -36 + -11y Divide each side by '7'. k = -5.142857143 + -1.571428571y Simplifying k = -5.142857143 + -1.571428571y
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