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Simplifying 7(w + 3) + -5w = 11 Reorder the terms: 7(3 + w) + -5w = 11 (3 * 7 + w * 7) + -5w = 11 (21 + 7w) + -5w = 11 Combine like terms: 7w + -5w = 2w 21 + 2w = 11 Solving 21 + 2w = 11 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 = 11 + -21 Combine like terms: 21 + -21 = 0 0 + 2w = 11 + -21 2w = 11 + -21 Combine like terms: 11 + -21 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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