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Simplifying 2w + 4 = 4w + 13 Reorder the terms: 4 + 2w = 4w + 13 Reorder the terms: 4 + 2w = 13 + 4w Solving 4 + 2w = 13 + 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. 4 + 2w + -4w = 13 + 4w + -4w Combine like terms: 2w + -4w = -2w 4 + -2w = 13 + 4w + -4w Combine like terms: 4w + -4w = 0 4 + -2w = 13 + 0 4 + -2w = 13 Add '-4' to each side of the equation. 4 + -4 + -2w = 13 + -4 Combine like terms: 4 + -4 = 0 0 + -2w = 13 + -4 -2w = 13 + -4 Combine like terms: 13 + -4 = 9 -2w = 9 Divide each side by '-2'. w = -4.5 Simplifying w = -4.5
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