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Simplifying 3k + 80 = 20k + 120 Reorder the terms: 80 + 3k = 20k + 120 Reorder the terms: 80 + 3k = 120 + 20k Solving 80 + 3k = 120 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. 80 + 3k + -20k = 120 + 20k + -20k Combine like terms: 3k + -20k = -17k 80 + -17k = 120 + 20k + -20k Combine like terms: 20k + -20k = 0 80 + -17k = 120 + 0 80 + -17k = 120 Add '-80' to each side of the equation. 80 + -80 + -17k = 120 + -80 Combine like terms: 80 + -80 = 0 0 + -17k = 120 + -80 -17k = 120 + -80 Combine like terms: 120 + -80 = 40 -17k = 40 Divide each side by '-17'. k = -2.352941176 Simplifying k = -2.352941176
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