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Simplifying 4(w + 5)(w + -3) = 4(w + 5)(w) + 240 Reorder the terms: 4(5 + w)(w + -3) = 4(w + 5)(w) + 240 Reorder the terms: 4(5 + w)(-3 + w) = 4(w + 5)(w) + 240 Multiply (5 + w) * (-3 + w) 4(5(-3 + w) + w(-3 + w)) = 4(w + 5)(w) + 240 4((-3 * 5 + w * 5) + w(-3 + w)) = 4(w + 5)(w) + 240 4((-15 + 5w) + w(-3 + w)) = 4(w + 5)(w) + 240 4(-15 + 5w + (-3 * w + w * w)) = 4(w + 5)(w) + 240 4(-15 + 5w + (-3w + w2)) = 4(w + 5)(w) + 240 Combine like terms: 5w + -3w = 2w 4(-15 + 2w + w2) = 4(w + 5)(w) + 240 (-15 * 4 + 2w * 4 + w2 * 4) = 4(w + 5)(w) + 240 (-60 + 8w + 4w2) = 4(w + 5)(w) + 240 Reorder the terms: -60 + 8w + 4w2 = 4(5 + w)(w) + 240 Reorder the terms for easier multiplication: -60 + 8w + 4w2 = 4w(5 + w) + 240 -60 + 8w + 4w2 = (5 * 4w + w * 4w) + 240 -60 + 8w + 4w2 = (20w + 4w2) + 240 Reorder the terms: -60 + 8w + 4w2 = 240 + 20w + 4w2 Add '-4w2' to each side of the equation. -60 + 8w + 4w2 + -4w2 = 240 + 20w + 4w2 + -4w2 Combine like terms: 4w2 + -4w2 = 0 -60 + 8w + 0 = 240 + 20w + 4w2 + -4w2 -60 + 8w = 240 + 20w + 4w2 + -4w2 Combine like terms: 4w2 + -4w2 = 0 -60 + 8w = 240 + 20w + 0 -60 + 8w = 240 + 20w Solving -60 + 8w = 240 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. -60 + 8w + -20w = 240 + 20w + -20w Combine like terms: 8w + -20w = -12w -60 + -12w = 240 + 20w + -20w Combine like terms: 20w + -20w = 0 -60 + -12w = 240 + 0 -60 + -12w = 240 Add '60' to each side of the equation. -60 + 60 + -12w = 240 + 60 Combine like terms: -60 + 60 = 0 0 + -12w = 240 + 60 -12w = 240 + 60 Combine like terms: 240 + 60 = 300 -12w = 300 Divide each side by '-12'. w = -25 Simplifying w = -25
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