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Simplifying 8k = 2(9k + 20) Reorder the terms: 8k = 2(20 + 9k) 8k = (20 * 2 + 9k * 2) 8k = (40 + 18k) Solving 8k = 40 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 8k + -18k = 40 + 18k + -18k Combine like terms: 8k + -18k = -10k -10k = 40 + 18k + -18k Combine like terms: 18k + -18k = 0 -10k = 40 + 0 -10k = 40 Divide each side by '-10'. k = -4 Simplifying k = -4
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