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Simplifying 4(w + 1) = 4(2 + -1w) Reorder the terms: 4(1 + w) = 4(2 + -1w) (1 * 4 + w * 4) = 4(2 + -1w) (4 + 4w) = 4(2 + -1w) 4 + 4w = (2 * 4 + -1w * 4) 4 + 4w = (8 + -4w) Solving 4 + 4w = 8 + -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 + 4w + 4w = 8 + -4w + 4w Combine like terms: 4w + 4w = 8w 4 + 8w = 8 + -4w + 4w Combine like terms: -4w + 4w = 0 4 + 8w = 8 + 0 4 + 8w = 8 Add '-4' to each side of the equation. 4 + -4 + 8w = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 8w = 8 + -4 8w = 8 + -4 Combine like terms: 8 + -4 = 4 8w = 4 Divide each side by '8'. w = 0.5 Simplifying w = 0.5
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