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Simplifying 20 + 60 = 10k + 100 Combine like terms: 20 + 60 = 80 80 = 10k + 100 Reorder the terms: 80 = 100 + 10k Solving 80 = 100 + 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 + -10k = 100 + 10k + -10k Combine like terms: 10k + -10k = 0 80 + -10k = 100 + 0 80 + -10k = 100 Add '-80' to each side of the equation. 80 + -80 + -10k = 100 + -80 Combine like terms: 80 + -80 = 0 0 + -10k = 100 + -80 -10k = 100 + -80 Combine like terms: 100 + -80 = 20 -10k = 20 Divide each side by '-10'. k = -2 Simplifying k = -2
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