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Simplifying 2w + 3 = 4w + 5 Reorder the terms: 3 + 2w = 4w + 5 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 = -2w 3 + -2w = 5 + 4w + -4w Combine like terms: 4w + -4w = 0 3 + -2w = 5 + 0 3 + -2w = 5 Add '-3' to each side of the equation. 3 + -3 + -2w = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -2w = 5 + -3 -2w = 5 + -3 Combine like terms: 5 + -3 = 2 -2w = 2 Divide each side by '-2'. w = -1 Simplifying w = -1
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