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Simplifying -2w + 4(w + 4) = 12 Reorder the terms: -2w + 4(4 + w) = 12 -2w + (4 * 4 + w * 4) = 12 -2w + (16 + 4w) = 12 Reorder the terms: 16 + -2w + 4w = 12 Combine like terms: -2w + 4w = 2w 16 + 2w = 12 Solving 16 + 2w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 2w = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 2w = 12 + -16 2w = 12 + -16 Combine like terms: 12 + -16 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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