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Simplifying 2l + 2w = 10 + 4(l + w) 2l + 2w = 10 + (l * 4 + w * 4) 2l + 2w = 10 + (4l + 4w) Solving 2l + 2w = 10 + 4l + 4w 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 = 10 + 4l + -4l + 4w Combine like terms: 2l + -4l = -2l -2l + 2w = 10 + 4l + -4l + 4w Combine like terms: 4l + -4l = 0 -2l + 2w = 10 + 0 + 4w -2l + 2w = 10 + 4w Add '-2w' to each side of the equation. -2l + 2w + -2w = 10 + 4w + -2w Combine like terms: 2w + -2w = 0 -2l + 0 = 10 + 4w + -2w -2l = 10 + 4w + -2w Combine like terms: 4w + -2w = 2w -2l = 10 + 2w Divide each side by '-2'. l = -5 + -1w Simplifying l = -5 + -1w
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