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Simplifying 5k + 60 = 40k + 100 Reorder the terms: 60 + 5k = 40k + 100 Reorder the terms: 60 + 5k = 100 + 40k Solving 60 + 5k = 100 + 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. 60 + 5k + -40k = 100 + 40k + -40k Combine like terms: 5k + -40k = -35k 60 + -35k = 100 + 40k + -40k Combine like terms: 40k + -40k = 0 60 + -35k = 100 + 0 60 + -35k = 100 Add '-60' to each side of the equation. 60 + -60 + -35k = 100 + -60 Combine like terms: 60 + -60 = 0 0 + -35k = 100 + -60 -35k = 100 + -60 Combine like terms: 100 + -60 = 40 -35k = 40 Divide each side by '-35'. k = -1.142857143 Simplifying k = -1.142857143
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