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Simplifying (w + 6)(w + 2) + -1w(w + 4) = 20 Reorder the terms: (6 + w)(w + 2) + -1w(w + 4) = 20 Reorder the terms: (6 + w)(2 + w) + -1w(w + 4) = 20 Multiply (6 + w) * (2 + w) (6(2 + w) + w(2 + w)) + -1w(w + 4) = 20 ((2 * 6 + w * 6) + w(2 + w)) + -1w(w + 4) = 20 ((12 + 6w) + w(2 + w)) + -1w(w + 4) = 20 (12 + 6w + (2 * w + w * w)) + -1w(w + 4) = 20 (12 + 6w + (2w + w2)) + -1w(w + 4) = 20 Combine like terms: 6w + 2w = 8w (12 + 8w + w2) + -1w(w + 4) = 20 Reorder the terms: 12 + 8w + w2 + -1w(4 + w) = 20 12 + 8w + w2 + (4 * -1w + w * -1w) = 20 12 + 8w + w2 + (-4w + -1w2) = 20 Reorder the terms: 12 + 8w + -4w + w2 + -1w2 = 20 Combine like terms: 8w + -4w = 4w 12 + 4w + w2 + -1w2 = 20 Combine like terms: w2 + -1w2 = 0 12 + 4w + 0 = 20 12 + 4w = 20 Solving 12 + 4w = 20 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4w = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 4w = 20 + -12 4w = 20 + -12 Combine like terms: 20 + -12 = 8 4w = 8 Divide each side by '4'. w = 2 Simplifying w = 2
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