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Simplifying 18 = 4(w + 5) + -2w Reorder the terms: 18 = 4(5 + w) + -2w 18 = (5 * 4 + w * 4) + -2w 18 = (20 + 4w) + -2w Combine like terms: 4w + -2w = 2w 18 = 20 + 2w Solving 18 = 20 + 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 = 20 + 2w + -2w Combine like terms: 2w + -2w = 0 18 + -2w = 20 + 0 18 + -2w = 20 Add '-18' to each side of the equation. 18 + -18 + -2w = 20 + -18 Combine like terms: 18 + -18 = 0 0 + -2w = 20 + -18 -2w = 20 + -18 Combine like terms: 20 + -18 = 2 -2w = 2 Divide each side by '-2'. w = -1 Simplifying w = -1
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