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Simplifying 2(w + 7) + 5w = -21 Reorder the terms: 2(7 + w) + 5w = -21 (7 * 2 + w * 2) + 5w = -21 (14 + 2w) + 5w = -21 Combine like terms: 2w + 5w = 7w 14 + 7w = -21 Solving 14 + 7w = -21 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7w = -21 + -14 Combine like terms: 14 + -14 = 0 0 + 7w = -21 + -14 7w = -21 + -14 Combine like terms: -21 + -14 = -35 7w = -35 Divide each side by '7'. w = -5 Simplifying w = -5
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