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Simplifying -11w = 7(1 + -2w) + 5 -11w = (1 * 7 + -2w * 7) + 5 -11w = (7 + -14w) + 5 Reorder the terms: -11w = 7 + 5 + -14w Combine like terms: 7 + 5 = 12 -11w = 12 + -14w Solving -11w = 12 + -14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14w' to each side of the equation. -11w + 14w = 12 + -14w + 14w Combine like terms: -11w + 14w = 3w 3w = 12 + -14w + 14w Combine like terms: -14w + 14w = 0 3w = 12 + 0 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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