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Simplifying 38k + 7k = 8k + 32 Combine like terms: 38k + 7k = 45k 45k = 8k + 32 Reorder the terms: 45k = 32 + 8k Solving 45k = 32 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 45k + -8k = 32 + 8k + -8k Combine like terms: 45k + -8k = 37k 37k = 32 + 8k + -8k Combine like terms: 8k + -8k = 0 37k = 32 + 0 37k = 32 Divide each side by '37'. k = 0.8648648649 Simplifying k = 0.8648648649
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