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Simplifying 5L + 10 = 3L + 82 Reorder the terms: 10 + 5L = 3L + 82 Reorder the terms: 10 + 5L = 82 + 3L Solving 10 + 5L = 82 + 3L Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-3L' to each side of the equation. 10 + 5L + -3L = 82 + 3L + -3L Combine like terms: 5L + -3L = 2L 10 + 2L = 82 + 3L + -3L Combine like terms: 3L + -3L = 0 10 + 2L = 82 + 0 10 + 2L = 82 Add '-10' to each side of the equation. 10 + -10 + 2L = 82 + -10 Combine like terms: 10 + -10 = 0 0 + 2L = 82 + -10 2L = 82 + -10 Combine like terms: 82 + -10 = 72 2L = 72 Divide each side by '2'. L = 36 Simplifying L = 36
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