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Simplifying 5w + 2 = 2w + 17 Reorder the terms: 2 + 5w = 2w + 17 Reorder the terms: 2 + 5w = 17 + 2w Solving 2 + 5w = 17 + 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. 2 + 5w + -2w = 17 + 2w + -2w Combine like terms: 5w + -2w = 3w 2 + 3w = 17 + 2w + -2w Combine like terms: 2w + -2w = 0 2 + 3w = 17 + 0 2 + 3w = 17 Add '-2' to each side of the equation. 2 + -2 + 3w = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 3w = 17 + -2 3w = 17 + -2 Combine like terms: 17 + -2 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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