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Simplifying 45k = 10k + 40 Reorder the terms: 45k = 40 + 10k Solving 45k = 40 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 45k + -10k = 40 + 10k + -10k Combine like terms: 45k + -10k = 35k 35k = 40 + 10k + -10k Combine like terms: 10k + -10k = 0 35k = 40 + 0 35k = 40 Divide each side by '35'. k = 1.142857143 Simplifying k = 1.142857143
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