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Simplifying 40k + 70 = 30k + 100 Reorder the terms: 70 + 40k = 30k + 100 Reorder the terms: 70 + 40k = 100 + 30k Solving 70 + 40k = 100 + 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. 70 + 40k + -30k = 100 + 30k + -30k Combine like terms: 40k + -30k = 10k 70 + 10k = 100 + 30k + -30k Combine like terms: 30k + -30k = 0 70 + 10k = 100 + 0 70 + 10k = 100 Add '-70' to each side of the equation. 70 + -70 + 10k = 100 + -70 Combine like terms: 70 + -70 = 0 0 + 10k = 100 + -70 10k = 100 + -70 Combine like terms: 100 + -70 = 30 10k = 30 Divide each side by '10'. k = 3 Simplifying k = 3
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