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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 = 18k -11 + 18k = -7k + 7k + 7y Combine like terms: -7k + 7k = 0 -11 + 18k = 0 + 7y -11 + 18k = 7y Add '11' to each side of the equation. -11 + 11 + 18k = 11 + 7y Combine like terms: -11 + 11 = 0 0 + 18k = 11 + 7y 18k = 11 + 7y Divide each side by '18'. k = 0.6111111111 + 0.3888888889y Simplifying k = 0.6111111111 + 0.3888888889y
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