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Simplifying 9(2k + 3) + 2 = 11(5 + -1y) Reorder the terms: 9(3 + 2k) + 2 = 11(5 + -1y) (3 * 9 + 2k * 9) + 2 = 11(5 + -1y) (27 + 18k) + 2 = 11(5 + -1y) Reorder the terms: 27 + 2 + 18k = 11(5 + -1y) Combine like terms: 27 + 2 = 29 29 + 18k = 11(5 + -1y) 29 + 18k = (5 * 11 + -1y * 11) 29 + 18k = (55 + -11y) Solving 29 + 18k = 55 + -11y Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 18k = 55 + -29 + -11y Combine like terms: 29 + -29 = 0 0 + 18k = 55 + -29 + -11y 18k = 55 + -29 + -11y Combine like terms: 55 + -29 = 26 18k = 26 + -11y Divide each side by '18'. k = 1.444444444 + -0.6111111111y Simplifying k = 1.444444444 + -0.6111111111y
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