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Simplifying 40k + 30 = 30k + 80 Reorder the terms: 30 + 40k = 30k + 80 Reorder the terms: 30 + 40k = 80 + 30k Solving 30 + 40k = 80 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. 30 + 40k + -30k = 80 + 30k + -30k Combine like terms: 40k + -30k = 10k 30 + 10k = 80 + 30k + -30k Combine like terms: 30k + -30k = 0 30 + 10k = 80 + 0 30 + 10k = 80 Add '-30' to each side of the equation. 30 + -30 + 10k = 80 + -30 Combine like terms: 30 + -30 = 0 0 + 10k = 80 + -30 10k = 80 + -30 Combine like terms: 80 + -30 = 50 10k = 50 Divide each side by '10'. k = 5 Simplifying k = 5
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