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