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Simplifying 9(2k + 3) + 2 = (k + -1y) Reorder the terms: 9(3 + 2k) + 2 = (k + -1y) (3 * 9 + 2k * 9) + 2 = (k + -1y) (27 + 18k) + 2 = (k + -1y) Reorder the terms: 27 + 2 + 18k = (k + -1y) Combine like terms: 27 + 2 = 29 29 + 18k = (k + -1y) Remove parenthesis around (k + -1y) 29 + 18k = k + -1y Solving 29 + 18k = k + -1y Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 29 + 18k + -1k = k + -1k + -1y Combine like terms: 18k + -1k = 17k 29 + 17k = k + -1k + -1y Combine like terms: k + -1k = 0 29 + 17k = 0 + -1y 29 + 17k = -1y Add '-29' to each side of the equation. 29 + -29 + 17k = -29 + -1y Combine like terms: 29 + -29 = 0 0 + 17k = -29 + -1y 17k = -29 + -1y Divide each side by '17'. k = -1.705882353 + -0.05882352941y Simplifying k = -1.705882353 + -0.05882352941y
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