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Simplifying 2L + 2(0.5L + 1) = 26 Reorder the terms: 2L + 2(1 + 0.5L) = 26 2L + (1 * 2 + 0.5L * 2) = 26 2L + (2 + 1L) = 26 Reorder the terms: 2 + 2L + 1L = 26 Combine like terms: 2L + 1L = 3L 2 + 3L = 26 Solving 2 + 3L = 26 Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3L = 26 + -2 Combine like terms: 2 + -2 = 0 0 + 3L = 26 + -2 3L = 26 + -2 Combine like terms: 26 + -2 = 24 3L = 24 Divide each side by '3'. L = 8 Simplifying L = 8
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