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Simplifying 3w + 40 = 5(w + 4) Reorder the terms: 40 + 3w = 5(w + 4) Reorder the terms: 40 + 3w = 5(4 + w) 40 + 3w = (4 * 5 + w * 5) 40 + 3w = (20 + 5w) Solving 40 + 3w = 20 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 40 + 3w + -5w = 20 + 5w + -5w Combine like terms: 3w + -5w = -2w 40 + -2w = 20 + 5w + -5w Combine like terms: 5w + -5w = 0 40 + -2w = 20 + 0 40 + -2w = 20 Add '-40' to each side of the equation. 40 + -40 + -2w = 20 + -40 Combine like terms: 40 + -40 = 0 0 + -2w = 20 + -40 -2w = 20 + -40 Combine like terms: 20 + -40 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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