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Simplifying 4 + -2(1 + -1w) = -38 4 + (1 * -2 + -1w * -2) = -38 4 + (-2 + 2w) = -38 Combine like terms: 4 + -2 = 2 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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