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Simplifying 8 = 2(w + 2) Reorder the terms: 8 = 2(2 + w) 8 = (2 * 2 + w * 2) 8 = (4 + 2w) Solving 8 = 4 + 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. 8 + -2w = 4 + 2w + -2w Combine like terms: 2w + -2w = 0 8 + -2w = 4 + 0 8 + -2w = 4 Add '-8' to each side of the equation. 8 + -8 + -2w = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -2w = 4 + -8 -2w = 4 + -8 Combine like terms: 4 + -8 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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