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Simplifying (w + 4)(3w + -5) = 3w2 + 3w + -12 Reorder the terms: (4 + w)(3w + -5) = 3w2 + 3w + -12 Reorder the terms: (4 + w)(-5 + 3w) = 3w2 + 3w + -12 Multiply (4 + w) * (-5 + 3w) (4(-5 + 3w) + w(-5 + 3w)) = 3w2 + 3w + -12 ((-5 * 4 + 3w * 4) + w(-5 + 3w)) = 3w2 + 3w + -12 ((-20 + 12w) + w(-5 + 3w)) = 3w2 + 3w + -12 (-20 + 12w + (-5 * w + 3w * w)) = 3w2 + 3w + -12 (-20 + 12w + (-5w + 3w2)) = 3w2 + 3w + -12 Combine like terms: 12w + -5w = 7w (-20 + 7w + 3w2) = 3w2 + 3w + -12 Reorder the terms: -20 + 7w + 3w2 = -12 + 3w + 3w2 Add '-3w2' to each side of the equation. -20 + 7w + 3w2 + -3w2 = -12 + 3w + 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 -20 + 7w + 0 = -12 + 3w + 3w2 + -3w2 -20 + 7w = -12 + 3w + 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 -20 + 7w = -12 + 3w + 0 -20 + 7w = -12 + 3w Solving -20 + 7w = -12 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -20 + 7w + -3w = -12 + 3w + -3w Combine like terms: 7w + -3w = 4w -20 + 4w = -12 + 3w + -3w Combine like terms: 3w + -3w = 0 -20 + 4w = -12 + 0 -20 + 4w = -12 Add '20' to each side of the equation. -20 + 20 + 4w = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 4w = -12 + 20 4w = -12 + 20 Combine like terms: -12 + 20 = 8 4w = 8 Divide each side by '4'. w = 2 Simplifying w = 2
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