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Simplifying 11(k + -1) = 7(k + -8) Reorder the terms: 11(-1 + k) = 7(k + -8) (-1 * 11 + k * 11) = 7(k + -8) (-11 + 11k) = 7(k + -8) Reorder the terms: -11 + 11k = 7(-8 + k) -11 + 11k = (-8 * 7 + k * 7) -11 + 11k = (-56 + 7k) Solving -11 + 11k = -56 + 7k 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 = -56 + 7k + -7k Combine like terms: 11k + -7k = 4k -11 + 4k = -56 + 7k + -7k Combine like terms: 7k + -7k = 0 -11 + 4k = -56 + 0 -11 + 4k = -56 Add '11' to each side of the equation. -11 + 11 + 4k = -56 + 11 Combine like terms: -11 + 11 = 0 0 + 4k = -56 + 11 4k = -56 + 11 Combine like terms: -56 + 11 = -45 4k = -45 Divide each side by '4'. k = -11.25 Simplifying k = -11.25
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