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Simplifying 11(k + -11) = 7(k + -1y) Reorder the terms: 11(-11 + k) = 7(k + -1y) (-11 * 11 + k * 11) = 7(k + -1y) (-121 + 11k) = 7(k + -1y) -121 + 11k = (k * 7 + -1y * 7) -121 + 11k = (7k + -7y) Solving -121 + 11k = 7k + -7y Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -121 + 11k + -7k = 7k + -7k + -7y Combine like terms: 11k + -7k = 4k -121 + 4k = 7k + -7k + -7y Combine like terms: 7k + -7k = 0 -121 + 4k = 0 + -7y -121 + 4k = -7y Add '121' to each side of the equation. -121 + 121 + 4k = 121 + -7y Combine like terms: -121 + 121 = 0 0 + 4k = 121 + -7y 4k = 121 + -7y Divide each side by '4'. k = 30.25 + -1.75y Simplifying k = 30.25 + -1.75y
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