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