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Simplifying -4 + 7(1 + -2w) = 32 -4 + (1 * 7 + -2w * 7) = 32 -4 + (7 + -14w) = 32 Combine like terms: -4 + 7 = 3 3 + -14w = 32 Solving 3 + -14w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -14w = 32 + -3 Combine like terms: 3 + -3 = 0 0 + -14w = 32 + -3 -14w = 32 + -3 Combine like terms: 32 + -3 = 29 -14w = 29 Divide each side by '-14'. w = -2.071428571 Simplifying w = -2.071428571
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