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Simplifying 7w + 7(w + 5) = -7 Reorder the terms: 7w + 7(5 + w) = -7 7w + (5 * 7 + w * 7) = -7 7w + (35 + 7w) = -7 Reorder the terms: 35 + 7w + 7w = -7 Combine like terms: 7w + 7w = 14w 35 + 14w = -7 Solving 35 + 14w = -7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 14w = -7 + -35 Combine like terms: 35 + -35 = 0 0 + 14w = -7 + -35 14w = -7 + -35 Combine like terms: -7 + -35 = -42 14w = -42 Divide each side by '14'. w = -3 Simplifying w = -3
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