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Simplifying 3w + -2(4 + -8w) = 8w + 25 3w + (4 * -2 + -8w * -2) = 8w + 25 3w + (-8 + 16w) = 8w + 25 Reorder the terms: -8 + 3w + 16w = 8w + 25 Combine like terms: 3w + 16w = 19w -8 + 19w = 8w + 25 Reorder the terms: -8 + 19w = 25 + 8w Solving -8 + 19w = 25 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -8 + 19w + -8w = 25 + 8w + -8w Combine like terms: 19w + -8w = 11w -8 + 11w = 25 + 8w + -8w Combine like terms: 8w + -8w = 0 -8 + 11w = 25 + 0 -8 + 11w = 25 Add '8' to each side of the equation. -8 + 8 + 11w = 25 + 8 Combine like terms: -8 + 8 = 0 0 + 11w = 25 + 8 11w = 25 + 8 Combine like terms: 25 + 8 = 33 11w = 33 Divide each side by '11'. w = 3 Simplifying w = 3
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