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Simplifying 460 = 2l + 2(w + 30) Reorder the terms: 460 = 2l + 2(30 + w) 460 = 2l + (30 * 2 + w * 2) 460 = 2l + (60 + 2w) Reorder the terms: 460 = 60 + 2l + 2w Solving 460 = 60 + 2l + 2w 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. 460 + -2l = 60 + 2l + -2l + 2w Combine like terms: 2l + -2l = 0 460 + -2l = 60 + 0 + 2w 460 + -2l = 60 + 2w Add '-460' to each side of the equation. 460 + -460 + -2l = 60 + -460 + 2w Combine like terms: 460 + -460 = 0 0 + -2l = 60 + -460 + 2w -2l = 60 + -460 + 2w Combine like terms: 60 + -460 = -400 -2l = -400 + 2w Divide each side by '-2'. l = 200 + -1w Simplifying l = 200 + -1w
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