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Simplifying -2(w + 1) = -4w + 18 Reorder the terms: -2(1 + w) = -4w + 18 (1 * -2 + w * -2) = -4w + 18 (-2 + -2w) = -4w + 18 Reorder the terms: -2 + -2w = 18 + -4w Solving -2 + -2w = 18 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -2 + -2w + 4w = 18 + -4w + 4w Combine like terms: -2w + 4w = 2w -2 + 2w = 18 + -4w + 4w Combine like terms: -4w + 4w = 0 -2 + 2w = 18 + 0 -2 + 2w = 18 Add '2' to each side of the equation. -2 + 2 + 2w = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 2w = 18 + 2 2w = 18 + 2 Combine like terms: 18 + 2 = 20 2w = 20 Divide each side by '2'. w = 10 Simplifying w = 10
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