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Simplifying (l + -4)(w * 2) = 420 Reorder the terms: (-4 + l)(w * 2) = 420 Reorder the terms for easier multiplication: (-4 + l)(2w) = 420 Remove parenthesis around (2w) (-4 + l) * 2w = 420 Reorder the terms for easier multiplication: 2w(-4 + l) = 420 (-4 * 2w + l * 2w) = 420 Reorder the terms: (2lw + -8w) = 420 (2lw + -8w) = 420 Solving 2lw + -8w = 420 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '8w' to each side of the equation. 2lw + -8w + 8w = 420 + 8w Combine like terms: -8w + 8w = 0 2lw + 0 = 420 + 8w 2lw = 420 + 8w Divide each side by '2w'. l = 210w-1 + 4 Simplifying l = 210w-1 + 4 Reorder the terms: l = 4 + 210w-1
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