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Simplifying 3k + -1(9 + k) = -1(9k + 9) 3k + (9 * -1 + k * -1) = -1(9k + 9) 3k + (-9 + -1k) = -1(9k + 9) Reorder the terms: -9 + 3k + -1k = -1(9k + 9) Combine like terms: 3k + -1k = 2k -9 + 2k = -1(9k + 9) Reorder the terms: -9 + 2k = -1(9 + 9k) -9 + 2k = (9 * -1 + 9k * -1) -9 + 2k = (-9 + -9k) Add '9' to each side of the equation. -9 + 9 + 2k = -9 + 9 + -9k Combine like terms: -9 + 9 = 0 0 + 2k = -9 + 9 + -9k 2k = -9 + 9 + -9k Combine like terms: -9 + 9 = 0 2k = 0 + -9k 2k = -9k Solving 2k = -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 2k + 9k = -9k + 9k Combine like terms: 2k + 9k = 11k 11k = -9k + 9k Combine like terms: -9k + 9k = 0 11k = 0 Divide each side by '11'. k = 0 Simplifying k = 0
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