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Simplifying 4w + 4 = 2w + 12 Reorder the terms: 4 + 4w = 2w + 12 Reorder the terms: 4 + 4w = 12 + 2w Solving 4 + 4w = 12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 4 + 4w + -2w = 12 + 2w + -2w Combine like terms: 4w + -2w = 2w 4 + 2w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 4 + 2w = 12 + 0 4 + 2w = 12 Add '-4' to each side of the equation. 4 + -4 + 2w = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2w = 12 + -4 2w = 12 + -4 Combine like terms: 12 + -4 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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