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Simplifying 2(l + 6) + 2w = 44 Reorder the terms: 2(6 + l) + 2w = 44 (6 * 2 + l * 2) + 2w = 44 (12 + 2l) + 2w = 44 Solving 12 + 2l + 2w = 44 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 = 44 + -12 Reorder the terms: 12 + -12 + 2l + 2w = 44 + -12 Combine like terms: 12 + -12 = 0 0 + 2l + 2w = 44 + -12 2l + 2w = 44 + -12 Combine like terms: 44 + -12 = 32 2l + 2w = 32 Add '-2w' to each side of the equation. 2l + 2w + -2w = 32 + -2w Combine like terms: 2w + -2w = 0 2l + 0 = 32 + -2w 2l = 32 + -2w Divide each side by '2'. l = 16 + -1w Simplifying l = 16 + -1w
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