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Simplifying 40k + 100 = 30k + 1q Reorder the terms: 100 + 40k = 30k + 1q Solving 100 + 40k = 30k + 1q 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. 100 + 40k + -30k = 30k + -30k + 1q Combine like terms: 40k + -30k = 10k 100 + 10k = 30k + -30k + 1q Combine like terms: 30k + -30k = 0 100 + 10k = 0 + 1q 100 + 10k = 1q Add '-100' to each side of the equation. 100 + -100 + 10k = -100 + 1q Combine like terms: 100 + -100 = 0 0 + 10k = -100 + 1q 10k = -100 + 1q Divide each side by '10'. k = -10 + 0.1q Simplifying k = -10 + 0.1q
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