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Simplifying 18 = -6w + 4(w + 5) Reorder the terms: 18 = -6w + 4(5 + w) 18 = -6w + (5 * 4 + w * 4) 18 = -6w + (20 + 4w) Reorder the terms: 18 = 20 + -6w + 4w Combine like terms: -6w + 4w = -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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