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Simplifying 40k + 90 = 30k + 10 Reorder the terms: 90 + 40k = 30k + 10 Reorder the terms: 90 + 40k = 10 + 30k Solving 90 + 40k = 10 + 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. 90 + 40k + -30k = 10 + 30k + -30k Combine like terms: 40k + -30k = 10k 90 + 10k = 10 + 30k + -30k Combine like terms: 30k + -30k = 0 90 + 10k = 10 + 0 90 + 10k = 10 Add '-90' to each side of the equation. 90 + -90 + 10k = 10 + -90 Combine like terms: 90 + -90 = 0 0 + 10k = 10 + -90 10k = 10 + -90 Combine like terms: 10 + -90 = -80 10k = -80 Divide each side by '10'. k = -8 Simplifying k = -8
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