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Simplifying 2(5 + -1k) + -8 = 8 (5 * 2 + -1k * 2) + -8 = 8 (10 + -2k) + -8 = 8 Reorder the terms: 10 + -8 + -2k = 8 Combine like terms: 10 + -8 = 2 2 + -2k = 8 Solving 2 + -2k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -2k = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -2k = 8 + -2 -2k = 8 + -2 Combine like terms: 8 + -2 = 6 -2k = 6 Divide each side by '-2'. k = -3 Simplifying k = -3
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