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Simplifying 0 = 5 + 7(w + 2) + w Reorder the terms: 0 = 5 + 7(2 + w) + w 0 = 5 + (2 * 7 + w * 7) + w 0 = 5 + (14 + 7w) + w Combine like terms: 5 + 14 = 19 0 = 19 + 7w + w Combine like terms: 7w + w = 8w 0 = 19 + 8w Solving 0 = 19 + 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. 0 + -8w = 19 + 8w + -8w Remove the zero: -8w = 19 + 8w + -8w Combine like terms: 8w + -8w = 0 -8w = 19 + 0 -8w = 19 Divide each side by '-8'. w = -2.375 Simplifying w = -2.375
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