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Simplifying 4l2 + (k + 10) * lm + 25m2 = 0 Reorder the terms: 4l2 + (10 + k) * lm + 25m2 = 0 Reorder the terms for easier multiplication: 4l2 + lm(10 + k) + 25m2 = 0 4l2 + (10 * lm + k * lm) + 25m2 = 0 Reorder the terms: 4l2 + (klm + 10lm) + 25m2 = 0 4l2 + (klm + 10lm) + 25m2 = 0 Reorder the terms: klm + 10lm + 4l2 + 25m2 = 0 Solving klm + 10lm + 4l2 + 25m2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10lm' to each side of the equation. klm + 10lm + 4l2 + -10lm + 25m2 = 0 + -10lm Reorder the terms: klm + 10lm + -10lm + 4l2 + 25m2 = 0 + -10lm Combine like terms: 10lm + -10lm = 0 klm + 0 + 4l2 + 25m2 = 0 + -10lm klm + 4l2 + 25m2 = 0 + -10lm Remove the zero: klm + 4l2 + 25m2 = -10lm Add '-4l2' to each side of the equation. klm + 4l2 + -4l2 + 25m2 = -10lm + -4l2 Combine like terms: 4l2 + -4l2 = 0 klm + 0 + 25m2 = -10lm + -4l2 klm + 25m2 = -10lm + -4l2 Add '-25m2' to each side of the equation. klm + 25m2 + -25m2 = -10lm + -4l2 + -25m2 Combine like terms: 25m2 + -25m2 = 0 klm + 0 = -10lm + -4l2 + -25m2 klm = -10lm + -4l2 + -25m2 Divide each side by 'lm'. k = -10 + -4lm-1 + -25l-1m Simplifying k = -10 + -4lm-1 + -25l-1m Reorder the terms: k = -10 + -25l-1m + -4lm-1
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