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Simplifying 40 = 2(10 + 4k) + 2k 40 = (10 * 2 + 4k * 2) + 2k 40 = (20 + 8k) + 2k Combine like terms: 8k + 2k = 10k 40 = 20 + 10k Solving 40 = 20 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 40 + -10k = 20 + 10k + -10k Combine like terms: 10k + -10k = 0 40 + -10k = 20 + 0 40 + -10k = 20 Add '-40' to each side of the equation. 40 + -40 + -10k = 20 + -40 Combine like terms: 40 + -40 = 0 0 + -10k = 20 + -40 -10k = 20 + -40 Combine like terms: 20 + -40 = -20 -10k = -20 Divide each side by '-10'. k = 2 Simplifying k = 2
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