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Simplifying -27 = -3(k + -66) Reorder the terms: -27 = -3(-66 + k) -27 = (-66 * -3 + k * -3) -27 = (198 + -3k) Solving -27 = 198 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -27 + 3k = 198 + -3k + 3k Combine like terms: -3k + 3k = 0 -27 + 3k = 198 + 0 -27 + 3k = 198 Add '27' to each side of the equation. -27 + 27 + 3k = 198 + 27 Combine like terms: -27 + 27 = 0 0 + 3k = 198 + 27 3k = 198 + 27 Combine like terms: 198 + 27 = 225 3k = 225 Divide each side by '3'. k = 75 Simplifying k = 75
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