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Simplifying 2w + 3 = w + -2 Reorder the terms: 3 + 2w = w + -2 Reorder the terms: 3 + 2w = -2 + w Solving 3 + 2w = -2 + 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. 3 + 2w + -1w = -2 + w + -1w Combine like terms: 2w + -1w = 1w 3 + 1w = -2 + w + -1w Combine like terms: w + -1w = 0 3 + 1w = -2 + 0 3 + 1w = -2 Add '-3' to each side of the equation. 3 + -3 + 1w = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 1w = -2 + -3 1w = -2 + -3 Combine like terms: -2 + -3 = -5 1w = -5 Divide each side by '1'. w = -5 Simplifying w = -5
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