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Simplifying 10(1 + 2k) = 490 (1 * 10 + 2k * 10) = 490 (10 + 20k) = 490 Solving 10 + 20k = 490 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 20k = 490 + -10 Combine like terms: 10 + -10 = 0 0 + 20k = 490 + -10 20k = 490 + -10 Combine like terms: 490 + -10 = 480 20k = 480 Divide each side by '20'. k = 24 Simplifying k = 24
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