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Simplifying 4w + 2(1 + -1w) = -38 4w + (1 * 2 + -1w * 2) = -38 4w + (2 + -2w) = -38 Reorder the terms: 2 + 4w + -2w = -38 Combine like terms: 4w + -2w = 2w 2 + 2w = -38 Solving 2 + 2w = -38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2w = -38 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = -38 + -2 2w = -38 + -2 Combine like terms: -38 + -2 = -40 2w = -40 Divide each side by '2'. w = -20 Simplifying w = -20
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