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Simplifying 102 = 2(L + 24) Reorder the terms: 102 = 2(24 + L) 102 = (24 * 2 + L * 2) 102 = (48 + 2L) Solving 102 = 48 + 2L Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-2L' to each side of the equation. 102 + -2L = 48 + 2L + -2L Combine like terms: 2L + -2L = 0 102 + -2L = 48 + 0 102 + -2L = 48 Add '-102' to each side of the equation. 102 + -102 + -2L = 48 + -102 Combine like terms: 102 + -102 = 0 0 + -2L = 48 + -102 -2L = 48 + -102 Combine like terms: 48 + -102 = -54 -2L = -54 Divide each side by '-2'. L = 27 Simplifying L = 27
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