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Simplifying 100 = k2 + 10K + 25 Reorder the terms: 100 = 25 + 10K + k2 Solving 100 = 25 + 10K + k2 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-10K' to each side of the equation. 100 + -10K = 25 + 10K + -10K + k2 Combine like terms: 10K + -10K = 0 100 + -10K = 25 + 0 + k2 100 + -10K = 25 + k2 Add '-100' to each side of the equation. 100 + -100 + -10K = 25 + -100 + k2 Combine like terms: 100 + -100 = 0 0 + -10K = 25 + -100 + k2 -10K = 25 + -100 + k2 Combine like terms: 25 + -100 = -75 -10K = -75 + k2 Divide each side by '-10'. K = 7.5 + -0.1k2 Simplifying K = 7.5 + -0.1k2
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