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Simplifying 4x + -2(1 + -1w) = -38 4x + (1 * -2 + -1w * -2) = -38 4x + (-2 + 2w) = -38 Reorder the terms: -2 + 2w + 4x = -38 Solving -2 + 2w + 4x = -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 + 2w + 2 + 4x = -38 + 2 Reorder the terms: -2 + 2 + 2w + 4x = -38 + 2 Combine like terms: -2 + 2 = 0 0 + 2w + 4x = -38 + 2 2w + 4x = -38 + 2 Combine like terms: -38 + 2 = -36 2w + 4x = -36 Add '-4x' to each side of the equation. 2w + 4x + -4x = -36 + -4x Combine like terms: 4x + -4x = 0 2w + 0 = -36 + -4x 2w = -36 + -4x Divide each side by '2'. w = -18 + -2x Simplifying w = -18 + -2x
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