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Simplifying 2(w + 6) + 2w = 8 Reorder the terms: 2(6 + w) + 2w = 8 (6 * 2 + w * 2) + 2w = 8 (12 + 2w) + 2w = 8 Combine like terms: 2w + 2w = 4w 12 + 4w = 8 Solving 12 + 4w = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4w = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 4w = 8 + -12 4w = 8 + -12 Combine like terms: 8 + -12 = -4 4w = -4 Divide each side by '4'. w = -1 Simplifying w = -1
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