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Simplifying 2(k + 20) = 10k Reorder the terms: 2(20 + k) = 10k (20 * 2 + k * 2) = 10k (40 + 2k) = 10k Solving 40 + 2k = 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 + 2k + -10k = 10k + -10k Combine like terms: 2k + -10k = -8k 40 + -8k = 10k + -10k Combine like terms: 10k + -10k = 0 40 + -8k = 0 Add '-40' to each side of the equation. 40 + -40 + -8k = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -8k = 0 + -40 -8k = 0 + -40 Combine like terms: 0 + -40 = -40 -8k = -40 Divide each side by '-8'. k = 5 Simplifying k = 5
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