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Simplifying (2l + 12) + 2w = 96 Reorder the terms: (12 + 2l) + 2w = 96 Remove parenthesis around (12 + 2l) 12 + 2l + 2w = 96 Solving 12 + 2l + 2w = 96 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2l + -12 + 2w = 96 + -12 Reorder the terms: 12 + -12 + 2l + 2w = 96 + -12 Combine like terms: 12 + -12 = 0 0 + 2l + 2w = 96 + -12 2l + 2w = 96 + -12 Combine like terms: 96 + -12 = 84 2l + 2w = 84 Add '-2w' to each side of the equation. 2l + 2w + -2w = 84 + -2w Combine like terms: 2w + -2w = 0 2l + 0 = 84 + -2w 2l = 84 + -2w Divide each side by '2'. l = 42 + -1w Simplifying l = 42 + -1w
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