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Simplifying 18 = 2(w + 7) + -4w Reorder the terms: 18 = 2(7 + w) + -4w 18 = (7 * 2 + w * 2) + -4w 18 = (14 + 2w) + -4w Combine like terms: 2w + -4w = -2w 18 = 14 + -2w Solving 18 = 14 + -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 = 14 + -2w + 2w Combine like terms: -2w + 2w = 0 18 + 2w = 14 + 0 18 + 2w = 14 Add '-18' to each side of the equation. 18 + -18 + 2w = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 2w = 14 + -18 2w = 14 + -18 Combine like terms: 14 + -18 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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