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