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Simplifying 2(w + 1) = 2w + 2 + -1w Reorder the terms: 2(1 + w) = 2w + 2 + -1w (1 * 2 + w * 2) = 2w + 2 + -1w (2 + 2w) = 2w + 2 + -1w Reorder the terms: 2 + 2w = 2 + 2w + -1w Combine like terms: 2w + -1w = 1w 2 + 2w = 2 + 1w Add '-2' to each side of the equation. 2 + -2 + 2w = 2 + -2 + 1w Combine like terms: 2 + -2 = 0 0 + 2w = 2 + -2 + 1w 2w = 2 + -2 + 1w Combine like terms: 2 + -2 = 0 2w = 0 + 1w 2w = 1w Solving 2w = 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 2w + -1w = 1w + -1w Combine like terms: 2w + -1w = 1w 1w = 1w + -1w Combine like terms: 1w + -1w = 0 1w = 0 Divide each side by '1'. w = 0 Simplifying w = 0
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