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Simplifying 9(2k + 3) + 2 = 11(k + -1y) Reorder the terms: 9(3 + 2k) + 2 = 11(k + -1y) (3 * 9 + 2k * 9) + 2 = 11(k + -1y) (27 + 18k) + 2 = 11(k + -1y) Reorder the terms: 27 + 2 + 18k = 11(k + -1y) Combine like terms: 27 + 2 = 29 29 + 18k = 11(k + -1y) 29 + 18k = (k * 11 + -1y * 11) 29 + 18k = (11k + -11y) Solving 29 + 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. 29 + 18k + -11k = 11k + -11k + -11y Combine like terms: 18k + -11k = 7k 29 + 7k = 11k + -11k + -11y Combine like terms: 11k + -11k = 0 29 + 7k = 0 + -11y 29 + 7k = -11y Add '-29' to each side of the equation. 29 + -29 + 7k = -29 + -11y Combine like terms: 29 + -29 = 0 0 + 7k = -29 + -11y 7k = -29 + -11y Divide each side by '7'. k = -4.142857143 + -1.571428571y Simplifying k = -4.142857143 + -1.571428571y
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