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Simplifying (w + 4)(w + 4) + -1w(w + 10) = 216 Reorder the terms: (4 + w)(w + 4) + -1w(w + 10) = 216 Reorder the terms: (4 + w)(4 + w) + -1w(w + 10) = 216 Multiply (4 + w) * (4 + w) (4(4 + w) + w(4 + w)) + -1w(w + 10) = 216 ((4 * 4 + w * 4) + w(4 + w)) + -1w(w + 10) = 216 ((16 + 4w) + w(4 + w)) + -1w(w + 10) = 216 (16 + 4w + (4 * w + w * w)) + -1w(w + 10) = 216 (16 + 4w + (4w + w2)) + -1w(w + 10) = 216 Combine like terms: 4w + 4w = 8w (16 + 8w + w2) + -1w(w + 10) = 216 Reorder the terms: 16 + 8w + w2 + -1w(10 + w) = 216 16 + 8w + w2 + (10 * -1w + w * -1w) = 216 16 + 8w + w2 + (-10w + -1w2) = 216 Reorder the terms: 16 + 8w + -10w + w2 + -1w2 = 216 Combine like terms: 8w + -10w = -2w 16 + -2w + w2 + -1w2 = 216 Combine like terms: w2 + -1w2 = 0 16 + -2w + 0 = 216 16 + -2w = 216 Solving 16 + -2w = 216 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -2w = 216 + -16 Combine like terms: 16 + -16 = 0 0 + -2w = 216 + -16 -2w = 216 + -16 Combine like terms: 216 + -16 = 200 -2w = 200 Divide each side by '-2'. w = -100 Simplifying w = -100
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