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Simplifying 11(k + -1) = 7(k + -1y) Reorder the terms: 11(-1 + k) = 7(k + -1y) (-1 * 11 + k * 11) = 7(k + -1y) (-11 + 11k) = 7(k + -1y) -11 + 11k = (k * 7 + -1y * 7) -11 + 11k = (7k + -7y) Solving -11 + 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. -11 + 11k + -7k = 7k + -7k + -7y Combine like terms: 11k + -7k = 4k -11 + 4k = 7k + -7k + -7y Combine like terms: 7k + -7k = 0 -11 + 4k = 0 + -7y -11 + 4k = -7y Add '11' to each side of the equation. -11 + 11 + 4k = 11 + -7y Combine like terms: -11 + 11 = 0 0 + 4k = 11 + -7y 4k = 11 + -7y Divide each side by '4'. k = 2.75 + -1.75y Simplifying k = 2.75 + -1.75y
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