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Simplifying 6 = 6(w + 2) + -8w Reorder the terms: 6 = 6(2 + w) + -8w 6 = (2 * 6 + w * 6) + -8w 6 = (12 + 6w) + -8w Combine like terms: 6w + -8w = -2w 6 = 12 + -2w Solving 6 = 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. 6 + 2w = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 6 + 2w = 12 + 0 6 + 2w = 12 Add '-6' to each side of the equation. 6 + -6 + 2w = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2w = 12 + -6 2w = 12 + -6 Combine like terms: 12 + -6 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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