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Simplifying 24.75 = (l + 2)(w + 1) Reorder the terms: 24.75 = (2 + l)(w + 1) Reorder the terms: 24.75 = (2 + l)(1 + w) Multiply (2 + l) * (1 + w) 24.75 = (2(1 + w) + l(1 + w)) 24.75 = ((1 * 2 + w * 2) + l(1 + w)) 24.75 = ((2 + 2w) + l(1 + w)) 24.75 = (2 + 2w + (1 * l + w * l)) 24.75 = (2 + 2w + (1l + lw)) Reorder the terms: 24.75 = (2 + 1l + lw + 2w) 24.75 = (2 + 1l + lw + 2w) Solving 24.75 = 2 + 1l + lw + 2w Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1l' to each side of the equation. 24.75 + -1l = 2 + 1l + lw + -1l + 2w Reorder the terms: 24.75 + -1l = 2 + 1l + -1l + lw + 2w Combine like terms: 1l + -1l = 0 24.75 + -1l = 2 + 0 + lw + 2w 24.75 + -1l = 2 + lw + 2w Add '-1lw' to each side of the equation. 24.75 + -1l + -1lw = 2 + lw + -1lw + 2w Combine like terms: lw + -1lw = 0 24.75 + -1l + -1lw = 2 + 0 + 2w 24.75 + -1l + -1lw = 2 + 2w Add '-24.75' to each side of the equation. 24.75 + -1l + -24.75 + -1lw = 2 + -24.75 + 2w Reorder the terms: 24.75 + -24.75 + -1l + -1lw = 2 + -24.75 + 2w Combine like terms: 24.75 + -24.75 = 0.00 0.00 + -1l + -1lw = 2 + -24.75 + 2w -1l + -1lw = 2 + -24.75 + 2w Combine like terms: 2 + -24.75 = -22.75 -1l + -1lw = -22.75 + 2w Reorder the terms: 22.75 + -1l + -1lw + -2w = -22.75 + 2w + 22.75 + -2w Reorder the terms: 22.75 + -1l + -1lw + -2w = -22.75 + 22.75 + 2w + -2w Combine like terms: -22.75 + 22.75 = 0.00 22.75 + -1l + -1lw + -2w = 0.00 + 2w + -2w 22.75 + -1l + -1lw + -2w = 2w + -2w Combine like terms: 2w + -2w = 0 22.75 + -1l + -1lw + -2w = 0 The solution to this equation could not be determined.
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