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Simplifying 10(10k + 10) = 3(10k + -3) Reorder the terms: 10(10 + 10k) = 3(10k + -3) (10 * 10 + 10k * 10) = 3(10k + -3) (100 + 100k) = 3(10k + -3) Reorder the terms: 100 + 100k = 3(-3 + 10k) 100 + 100k = (-3 * 3 + 10k * 3) 100 + 100k = (-9 + 30k) Solving 100 + 100k = -9 + 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. 100 + 100k + -30k = -9 + 30k + -30k Combine like terms: 100k + -30k = 70k 100 + 70k = -9 + 30k + -30k Combine like terms: 30k + -30k = 0 100 + 70k = -9 + 0 100 + 70k = -9 Add '-100' to each side of the equation. 100 + -100 + 70k = -9 + -100 Combine like terms: 100 + -100 = 0 0 + 70k = -9 + -100 70k = -9 + -100 Combine like terms: -9 + -100 = -109 70k = -109 Divide each side by '70'. k = -1.557142857 Simplifying k = -1.557142857
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