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Simplifying 20 + 4(w + 5) = 5 + 2w Reorder the terms: 20 + 4(5 + w) = 5 + 2w 20 + (5 * 4 + w * 4) = 5 + 2w 20 + (20 + 4w) = 5 + 2w Combine like terms: 20 + 20 = 40 40 + 4w = 5 + 2w Solving 40 + 4w = 5 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 40 + 4w + -2w = 5 + 2w + -2w Combine like terms: 4w + -2w = 2w 40 + 2w = 5 + 2w + -2w Combine like terms: 2w + -2w = 0 40 + 2w = 5 + 0 40 + 2w = 5 Add '-40' to each side of the equation. 40 + -40 + 2w = 5 + -40 Combine like terms: 40 + -40 = 0 0 + 2w = 5 + -40 2w = 5 + -40 Combine like terms: 5 + -40 = -35 2w = -35 Divide each side by '2'. w = -17.5 Simplifying w = -17.5
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