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Simplifying 3w + 2 = 4 + -1w Reorder the terms: 2 + 3w = 4 + -1w Solving 2 + 3w = 4 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 2 + 3w + w = 4 + -1w + w Combine like terms: 3w + w = 4w 2 + 4w = 4 + -1w + w Combine like terms: -1w + w = 0 2 + 4w = 4 + 0 2 + 4w = 4 Add '-2' to each side of the equation. 2 + -2 + 4w = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 4w = 4 + -2 4w = 4 + -2 Combine like terms: 4 + -2 = 2 4w = 2 Divide each side by '4'. w = 0.5 Simplifying w = 0.5
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