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Simplifying 9k + -1(9 + k) = -1(2k + 9) 9k + (9 * -1 + k * -1) = -1(2k + 9) 9k + (-9 + -1k) = -1(2k + 9) Reorder the terms: -9 + 9k + -1k = -1(2k + 9) Combine like terms: 9k + -1k = 8k -9 + 8k = -1(2k + 9) Reorder the terms: -9 + 8k = -1(9 + 2k) -9 + 8k = (9 * -1 + 2k * -1) -9 + 8k = (-9 + -2k) Add '9' to each side of the equation. -9 + 9 + 8k = -9 + 9 + -2k Combine like terms: -9 + 9 = 0 0 + 8k = -9 + 9 + -2k 8k = -9 + 9 + -2k Combine like terms: -9 + 9 = 0 8k = 0 + -2k 8k = -2k Solving 8k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 8k + 2k = -2k + 2k Combine like terms: 8k + 2k = 10k 10k = -2k + 2k Combine like terms: -2k + 2k = 0 10k = 0 Divide each side by '10'. k = 0.0 Simplifying k = 0.0
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