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Simplifying 50 = 2(20 + w) 50 = (20 * 2 + w * 2) 50 = (40 + 2w) Solving 50 = 40 + 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. 50 + -2w = 40 + 2w + -2w Combine like terms: 2w + -2w = 0 50 + -2w = 40 + 0 50 + -2w = 40 Add '-50' to each side of the equation. 50 + -50 + -2w = 40 + -50 Combine like terms: 50 + -50 = 0 0 + -2w = 40 + -50 -2w = 40 + -50 Combine like terms: 40 + -50 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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