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Simplifying 7(w + 77) + w + 9 = 46 Reorder the terms: 7(77 + w) + w + 9 = 46 (77 * 7 + w * 7) + w + 9 = 46 (539 + 7w) + w + 9 = 46 Reorder the terms: 539 + 9 + 7w + w = 46 Combine like terms: 539 + 9 = 548 548 + 7w + w = 46 Combine like terms: 7w + w = 8w 548 + 8w = 46 Solving 548 + 8w = 46 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-548' to each side of the equation. 548 + -548 + 8w = 46 + -548 Combine like terms: 548 + -548 = 0 0 + 8w = 46 + -548 8w = 46 + -548 Combine like terms: 46 + -548 = -502 8w = -502 Divide each side by '8'. w = -62.75 Simplifying w = -62.75
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