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Simplifying 2w + (w + 5) + 2w + (w + 5) = 40 Reorder the terms: 2w + (5 + w) + 2w + (w + 5) = 40 Remove parenthesis around (5 + w) 2w + 5 + w + 2w + (w + 5) = 40 Reorder the terms: 2w + 5 + w + 2w + (5 + w) = 40 Remove parenthesis around (5 + w) 2w + 5 + w + 2w + 5 + w = 40 Reorder the terms: 5 + 5 + 2w + w + 2w + w = 40 Combine like terms: 5 + 5 = 10 10 + 2w + w + 2w + w = 40 Combine like terms: 2w + w = 3w 10 + 3w + 2w + w = 40 Combine like terms: 3w + 2w = 5w 10 + 5w + w = 40 Combine like terms: 5w + w = 6w 10 + 6w = 40 Solving 10 + 6w = 40 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6w = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 6w = 40 + -10 6w = 40 + -10 Combine like terms: 40 + -10 = 30 6w = 30 Divide each side by '6'. w = 5 Simplifying w = 5
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