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Simplifying 5(8 + 2k) = 100 (8 * 5 + 2k * 5) = 100 (40 + 10k) = 100 Solving 40 + 10k = 100 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 10k = 100 + -40 Combine like terms: 40 + -40 = 0 0 + 10k = 100 + -40 10k = 100 + -40 Combine like terms: 100 + -40 = 60 10k = 60 Divide each side by '10'. k = 6 Simplifying k = 6
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