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Simplifying 4w + -2(1 + w) = -38 4w + (1 * -2 + w * -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 = -36 2w = -36 Divide each side by '2'. w = -18 Simplifying w = -18
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