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Simplifying 18 = -8w + 6(w + 2) Reorder the terms: 18 = -8w + 6(2 + w) 18 = -8w + (2 * 6 + w * 6) 18 = -8w + (12 + 6w) Reorder the terms: 18 = 12 + -8w + 6w Combine like terms: -8w + 6w = -2w 18 = 12 + -2w Solving 18 = 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. 18 + 2w = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 18 + 2w = 12 + 0 18 + 2w = 12 Add '-18' to each side of the equation. 18 + -18 + 2w = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 2w = 12 + -18 2w = 12 + -18 Combine like terms: 12 + -18 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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