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Simplifying 20k + 100 = 100k + 120 Reorder the terms: 100 + 20k = 100k + 120 Reorder the terms: 100 + 20k = 120 + 100k Solving 100 + 20k = 120 + 100k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-100k' to each side of the equation. 100 + 20k + -100k = 120 + 100k + -100k Combine like terms: 20k + -100k = -80k 100 + -80k = 120 + 100k + -100k Combine like terms: 100k + -100k = 0 100 + -80k = 120 + 0 100 + -80k = 120 Add '-100' to each side of the equation. 100 + -100 + -80k = 120 + -100 Combine like terms: 100 + -100 = 0 0 + -80k = 120 + -100 -80k = 120 + -100 Combine like terms: 120 + -100 = 20 -80k = 20 Divide each side by '-80'. k = -0.25 Simplifying k = -0.25
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