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Simplifying 20k + 80 = 10k + 90 Reorder the terms: 80 + 20k = 10k + 90 Reorder the terms: 80 + 20k = 90 + 10k Solving 80 + 20k = 90 + 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. 80 + 20k + -10k = 90 + 10k + -10k Combine like terms: 20k + -10k = 10k 80 + 10k = 90 + 10k + -10k Combine like terms: 10k + -10k = 0 80 + 10k = 90 + 0 80 + 10k = 90 Add '-80' to each side of the equation. 80 + -80 + 10k = 90 + -80 Combine like terms: 80 + -80 = 0 0 + 10k = 90 + -80 10k = 90 + -80 Combine like terms: 90 + -80 = 10 10k = 10 Divide each side by '10'. k = 1 Simplifying k = 1
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