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Simplifying 2w + 3 = 5 + -4w Reorder the terms: 3 + 2w = 5 + -4w Solving 3 + 2w = 5 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 3 + 2w + 4w = 5 + -4w + 4w Combine like terms: 2w + 4w = 6w 3 + 6w = 5 + -4w + 4w Combine like terms: -4w + 4w = 0 3 + 6w = 5 + 0 3 + 6w = 5 Add '-3' to each side of the equation. 3 + -3 + 6w = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 6w = 5 + -3 6w = 5 + -3 Combine like terms: 5 + -3 = 2 6w = 2 Divide each side by '6'. w = 0.3333333333 Simplifying w = 0.3333333333
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