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