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Simplifying 5k + 90 = 40k + 100 Reorder the terms: 90 + 5k = 40k + 100 Reorder the terms: 90 + 5k = 100 + 40k Solving 90 + 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. 90 + 5k + -40k = 100 + 40k + -40k Combine like terms: 5k + -40k = -35k 90 + -35k = 100 + 40k + -40k Combine like terms: 40k + -40k = 0 90 + -35k = 100 + 0 90 + -35k = 100 Add '-90' to each side of the equation. 90 + -90 + -35k = 100 + -90 Combine like terms: 90 + -90 = 0 0 + -35k = 100 + -90 -35k = 100 + -90 Combine like terms: 100 + -90 = 10 -35k = 10 Divide each side by '-35'. k = -0.2857142857 Simplifying k = -0.2857142857
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