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Simplifying 5(w + 5) = 34 + 2w Reorder the terms: 5(5 + w) = 34 + 2w (5 * 5 + w * 5) = 34 + 2w (25 + 5w) = 34 + 2w Solving 25 + 5w = 34 + 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. 25 + 5w + -2w = 34 + 2w + -2w Combine like terms: 5w + -2w = 3w 25 + 3w = 34 + 2w + -2w Combine like terms: 2w + -2w = 0 25 + 3w = 34 + 0 25 + 3w = 34 Add '-25' to each side of the equation. 25 + -25 + 3w = 34 + -25 Combine like terms: 25 + -25 = 0 0 + 3w = 34 + -25 3w = 34 + -25 Combine like terms: 34 + -25 = 9 3w = 9 Divide each side by '3'. w = 3 Simplifying w = 3
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