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Simplifying 2l + 2w = 10 + 4(l + 10) Reorder the terms: 2l + 2w = 10 + 4(10 + l) 2l + 2w = 10 + (10 * 4 + l * 4) 2l + 2w = 10 + (40 + 4l) Combine like terms: 10 + 40 = 50 2l + 2w = 50 + 4l Solving 2l + 2w = 50 + 4l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4l' to each side of the equation. 2l + -4l + 2w = 50 + 4l + -4l Combine like terms: 2l + -4l = -2l -2l + 2w = 50 + 4l + -4l Combine like terms: 4l + -4l = 0 -2l + 2w = 50 + 0 -2l + 2w = 50 Add '-2w' to each side of the equation. -2l + 2w + -2w = 50 + -2w Combine like terms: 2w + -2w = 0 -2l + 0 = 50 + -2w -2l = 50 + -2w Divide each side by '-2'. l = -25 + w Simplifying l = -25 + w
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