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Simplifying 2(l) + 2(2 + w) = 24 2l + (2 * 2 + w * 2) = 24 2l + (4 + 2w) = 24 Reorder the terms: 4 + 2l + 2w = 24 Solving 4 + 2l + 2w = 24 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2l + -4 + 2w = 24 + -4 Reorder the terms: 4 + -4 + 2l + 2w = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 2l + 2w = 24 + -4 2l + 2w = 24 + -4 Combine like terms: 24 + -4 = 20 2l + 2w = 20 Add '-2w' to each side of the equation. 2l + 2w + -2w = 20 + -2w Combine like terms: 2w + -2w = 0 2l + 0 = 20 + -2w 2l = 20 + -2w Divide each side by '2'. l = 10 + -1w Simplifying l = 10 + -1w
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