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Simplifying k + 20 = 9k + -1y Reorder the terms: 20 + k = 9k + -1y Solving 20 + k = 9k + -1y Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 20 + k + -9k = 9k + -9k + -1y Combine like terms: k + -9k = -8k 20 + -8k = 9k + -9k + -1y Combine like terms: 9k + -9k = 0 20 + -8k = 0 + -1y 20 + -8k = -1y Add '-20' to each side of the equation. 20 + -20 + -8k = -20 + -1y Combine like terms: 20 + -20 = 0 0 + -8k = -20 + -1y -8k = -20 + -1y Divide each side by '-8'. k = 2.5 + 0.125y Simplifying k = 2.5 + 0.125y
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