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Simplifying 7(w + 11) + w + 9 = 46 Reorder the terms: 7(11 + w) + w + 9 = 46 (11 * 7 + w * 7) + w + 9 = 46 (77 + 7w) + w + 9 = 46 Reorder the terms: 77 + 9 + 7w + w = 46 Combine like terms: 77 + 9 = 86 86 + 7w + w = 46 Combine like terms: 7w + w = 8w 86 + 8w = 46 Solving 86 + 8w = 46 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + 8w = 46 + -86 Combine like terms: 86 + -86 = 0 0 + 8w = 46 + -86 8w = 46 + -86 Combine like terms: 46 + -86 = -40 8w = -40 Divide each side by '8'. w = -5 Simplifying w = -5
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