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Simplifying 3(3k + 3) = -1(-9 + -7k) + -3k Reorder the terms: 3(3 + 3k) = -1(-9 + -7k) + -3k (3 * 3 + 3k * 3) = -1(-9 + -7k) + -3k (9 + 9k) = -1(-9 + -7k) + -3k 9 + 9k = (-9 * -1 + -7k * -1) + -3k 9 + 9k = (9 + 7k) + -3k Combine like terms: 7k + -3k = 4k 9 + 9k = 9 + 4k Add '-9' to each side of the equation. 9 + -9 + 9k = 9 + -9 + 4k Combine like terms: 9 + -9 = 0 0 + 9k = 9 + -9 + 4k 9k = 9 + -9 + 4k Combine like terms: 9 + -9 = 0 9k = 0 + 4k 9k = 4k Solving 9k = 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 9k + -4k = 4k + -4k Combine like terms: 9k + -4k = 5k 5k = 4k + -4k Combine like terms: 4k + -4k = 0 5k = 0 Divide each side by '5'. k = 0 Simplifying k = 0
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