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