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Simplifying (w + 4)(w + 14) + -1w(w + 10) = 216 Reorder the terms: (4 + w)(w + 14) + -1w(w + 10) = 216 Reorder the terms: (4 + w)(14 + w) + -1w(w + 10) = 216 Multiply (4 + w) * (14 + w) (4(14 + w) + w(14 + w)) + -1w(w + 10) = 216 ((14 * 4 + w * 4) + w(14 + w)) + -1w(w + 10) = 216 ((56 + 4w) + w(14 + w)) + -1w(w + 10) = 216 (56 + 4w + (14 * w + w * w)) + -1w(w + 10) = 216 (56 + 4w + (14w + w2)) + -1w(w + 10) = 216 Combine like terms: 4w + 14w = 18w (56 + 18w + w2) + -1w(w + 10) = 216 Reorder the terms: 56 + 18w + w2 + -1w(10 + w) = 216 56 + 18w + w2 + (10 * -1w + w * -1w) = 216 56 + 18w + w2 + (-10w + -1w2) = 216 Reorder the terms: 56 + 18w + -10w + w2 + -1w2 = 216 Combine like terms: 18w + -10w = 8w 56 + 8w + w2 + -1w2 = 216 Combine like terms: w2 + -1w2 = 0 56 + 8w + 0 = 216 56 + 8w = 216 Solving 56 + 8w = 216 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 8w = 216 + -56 Combine like terms: 56 + -56 = 0 0 + 8w = 216 + -56 8w = 216 + -56 Combine like terms: 216 + -56 = 160 8w = 160 Divide each side by '8'. w = 20 Simplifying w = 20
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