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Simplifying 30k + 40(15 + -1k) = 520 30k + (15 * 40 + -1k * 40) = 520 30k + (600 + -40k) = 520 Reorder the terms: 600 + 30k + -40k = 520 Combine like terms: 30k + -40k = -10k 600 + -10k = 520 Solving 600 + -10k = 520 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-600' to each side of the equation. 600 + -600 + -10k = 520 + -600 Combine like terms: 600 + -600 = 0 0 + -10k = 520 + -600 -10k = 520 + -600 Combine like terms: 520 + -600 = -80 -10k = -80 Divide each side by '-10'. k = 8 Simplifying k = 8
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