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Simplifying 7(w + 3) + -5w = 7 Reorder the terms: 7(3 + w) + -5w = 7 (3 * 7 + w * 7) + -5w = 7 (21 + 7w) + -5w = 7 Combine like terms: 7w + -5w = 2w 21 + 2w = 7 Solving 21 + 2w = 7 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 + 2w = 7 + -21 Combine like terms: 21 + -21 = 0 0 + 2w = 7 + -21 2w = 7 + -21 Combine like terms: 7 + -21 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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