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