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Simplifying (W + 2)(w + 5) = 40 Reorder the terms: (2 + W)(w + 5) = 40 Reorder the terms: (2 + W)(5 + w) = 40 Multiply (2 + W) * (5 + w) (2(5 + w) + W(5 + w)) = 40 ((5 * 2 + w * 2) + W(5 + w)) = 40 ((10 + 2w) + W(5 + w)) = 40 (10 + 2w + (5 * W + w * W)) = 40 (10 + 2w + (5W + wW)) = 40 Reorder the terms: (10 + 5W + 2w + wW) = 40 (10 + 5W + 2w + wW) = 40 Solving 10 + 5W + 2w + wW = 40 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 5W + 2w + -10 + wW = 40 + -10 Reorder the terms: 10 + -10 + 5W + 2w + wW = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 5W + 2w + wW = 40 + -10 5W + 2w + wW = 40 + -10 Combine like terms: 40 + -10 = 30 5W + 2w + wW = 30 Add '-2w' to each side of the equation. 5W + 2w + -2w + wW = 30 + -2w Combine like terms: 2w + -2w = 0 5W + 0 + wW = 30 + -2w 5W + wW = 30 + -2w Reorder the terms: -30 + 5W + 2w + wW = 30 + -2w + -30 + 2w Reorder the terms: -30 + 5W + 2w + wW = 30 + -30 + -2w + 2w Combine like terms: 30 + -30 = 0 -30 + 5W + 2w + wW = 0 + -2w + 2w -30 + 5W + 2w + wW = -2w + 2w Combine like terms: -2w + 2w = 0 -30 + 5W + 2w + wW = 0 The solution to this equation could not be determined.
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