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Simplifying 4w + -1(1 + -1w) = -38 4w + (1 * -1 + -1w * -1) = -38 4w + (-1 + 1w) = -38 Reorder the terms: -1 + 4w + 1w = -38 Combine like terms: 4w + 1w = 5w -1 + 5w = -38 Solving -1 + 5w = -38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5w = -38 + 1 Combine like terms: -1 + 1 = 0 0 + 5w = -38 + 1 5w = -38 + 1 Combine like terms: -38 + 1 = -37 5w = -37 Divide each side by '5'. w = -7.4 Simplifying w = -7.4
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