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Simplifying 5 + -8 = k(-1 + 2) Combine like terms: 5 + -8 = -3 -3 = k(-1 + 2) Combine like terms: -1 + 2 = 1 -3 = k(1) Reorder the terms for easier multiplication: -3 = 1k Solving -3 = 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -3 + -1k = 1k + -1k Combine like terms: 1k + -1k = 0 -3 + -1k = 0 Add '3' to each side of the equation. -3 + 3 + -1k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1k = 0 + 3 -1k = 0 + 3 Combine like terms: 0 + 3 = 3 -1k = 3 Divide each side by '-1'. k = -3 Simplifying k = -3
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