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Simplifying 8(5 + -1k) = 2k (5 * 8 + -1k * 8) = 2k (40 + -8k) = 2k Solving 40 + -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. 40 + -8k + -2k = 2k + -2k Combine like terms: -8k + -2k = -10k 40 + -10k = 2k + -2k Combine like terms: 2k + -2k = 0 40 + -10k = 0 Add '-40' to each side of the equation. 40 + -40 + -10k = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -10k = 0 + -40 -10k = 0 + -40 Combine like terms: 0 + -40 = -40 -10k = -40 Divide each side by '-10'. k = 4 Simplifying k = 4
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