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Simplifying 30k + 100 = 2k + 120 Reorder the terms: 100 + 30k = 2k + 120 Reorder the terms: 100 + 30k = 120 + 2k Solving 100 + 30k = 120 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 100 + 30k + -2k = 120 + 2k + -2k Combine like terms: 30k + -2k = 28k 100 + 28k = 120 + 2k + -2k Combine like terms: 2k + -2k = 0 100 + 28k = 120 + 0 100 + 28k = 120 Add '-100' to each side of the equation. 100 + -100 + 28k = 120 + -100 Combine like terms: 100 + -100 = 0 0 + 28k = 120 + -100 28k = 120 + -100 Combine like terms: 120 + -100 = 20 28k = 20 Divide each side by '28'. k = 0.7142857143 Simplifying k = 0.7142857143
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