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