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Simplifying 3w + 2 + 3 = w + -3 + 3 Reorder the terms: 2 + 3 + 3w = w + -3 + 3 Combine like terms: 2 + 3 = 5 5 + 3w = w + -3 + 3 Reorder the terms: 5 + 3w = -3 + 3 + w Combine like terms: -3 + 3 = 0 5 + 3w = 0 + w 5 + 3w = w Solving 5 + 3w = w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 5 + 3w + -1w = w + -1w Combine like terms: 3w + -1w = 2w 5 + 2w = w + -1w Combine like terms: w + -1w = 0 5 + 2w = 0 Add '-5' to each side of the equation. 5 + -5 + 2w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2w = 0 + -5 2w = 0 + -5 Combine like terms: 0 + -5 = -5 2w = -5 Divide each side by '2'. w = -2.5 Simplifying w = -2.5
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