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Simplifying L + -1 = 5L + 3L + -8 Reorder the terms: -1 + L = 5L + 3L + -8 Reorder the terms: -1 + L = -8 + 5L + 3L Combine like terms: 5L + 3L = 8L -1 + L = -8 + 8L Solving -1 + L = -8 + 8L Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-8L' to each side of the equation. -1 + L + -8L = -8 + 8L + -8L Combine like terms: L + -8L = -7L -1 + -7L = -8 + 8L + -8L Combine like terms: 8L + -8L = 0 -1 + -7L = -8 + 0 -1 + -7L = -8 Add '1' to each side of the equation. -1 + 1 + -7L = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -7L = -8 + 1 -7L = -8 + 1 Combine like terms: -8 + 1 = -7 -7L = -7 Divide each side by '-7'. L = 1 Simplifying L = 1
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