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Simplifying 8 = 2(L + (L + 2)) Reorder the terms: 8 = 2(L + (2 + L)) Remove parenthesis around (2 + L) 8 = 2(L + 2 + L) Reorder the terms: 8 = 2(2 + L + L) Combine like terms: L + L = 2L 8 = 2(2 + 2L) 8 = (2 * 2 + 2L * 2) 8 = (4 + 4L) Solving 8 = 4 + 4L Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-4L' to each side of the equation. 8 + -4L = 4 + 4L + -4L Combine like terms: 4L + -4L = 0 8 + -4L = 4 + 0 8 + -4L = 4 Add '-8' to each side of the equation. 8 + -8 + -4L = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -4L = 4 + -8 -4L = 4 + -8 Combine like terms: 4 + -8 = -4 -4L = -4 Divide each side by '-4'. L = 1 Simplifying L = 1
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