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Simplifying 2w + -2 + 4 = 4w + 1 Reorder the terms: -2 + 4 + 2w = 4w + 1 Combine like terms: -2 + 4 = 2 2 + 2w = 4w + 1 Reorder the terms: 2 + 2w = 1 + 4w Solving 2 + 2w = 1 + 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. 2 + 2w + -4w = 1 + 4w + -4w Combine like terms: 2w + -4w = -2w 2 + -2w = 1 + 4w + -4w Combine like terms: 4w + -4w = 0 2 + -2w = 1 + 0 2 + -2w = 1 Add '-2' to each side of the equation. 2 + -2 + -2w = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -2w = 1 + -2 -2w = 1 + -2 Combine like terms: 1 + -2 = -1 -2w = -1 Divide each side by '-2'. w = 0.5 Simplifying w = 0.5
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