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Simplifying 3w + -5 = 5 + -2w Reorder the terms: -5 + 3w = 5 + -2w Solving -5 + 3w = 5 + -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. -5 + 3w + 2w = 5 + -2w + 2w Combine like terms: 3w + 2w = 5w -5 + 5w = 5 + -2w + 2w Combine like terms: -2w + 2w = 0 -5 + 5w = 5 + 0 -5 + 5w = 5 Add '5' to each side of the equation. -5 + 5 + 5w = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 5w = 5 + 5 5w = 5 + 5 Combine like terms: 5 + 5 = 10 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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