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Simplifying 2w + 5 = 15 + -3w Reorder the terms: 5 + 2w = 15 + -3w Solving 5 + 2w = 15 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 5 + 2w + 3w = 15 + -3w + 3w Combine like terms: 2w + 3w = 5w 5 + 5w = 15 + -3w + 3w Combine like terms: -3w + 3w = 0 5 + 5w = 15 + 0 5 + 5w = 15 Add '-5' to each side of the equation. 5 + -5 + 5w = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 5w = 15 + -5 5w = 15 + -5 Combine like terms: 15 + -5 = 10 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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