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Simplifying 5 + 7(w + 2) + 2 = 0 Reorder the terms: 5 + 7(2 + w) + 2 = 0 5 + (2 * 7 + w * 7) + 2 = 0 5 + (14 + 7w) + 2 = 0 Reorder the terms: 5 + 14 + 2 + 7w = 0 Combine like terms: 5 + 14 = 19 19 + 2 + 7w = 0 Combine like terms: 19 + 2 = 21 21 + 7w = 0 Solving 21 + 7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 7w = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 7w = 0 + -21 7w = 0 + -21 Combine like terms: 0 + -21 = -21 7w = -21 Divide each side by '7'. w = -3 Simplifying w = -3
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