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Simplifying 7(w + 3) + -2w = 6 Reorder the terms: 7(3 + w) + -2w = 6 (3 * 7 + w * 7) + -2w = 6 (21 + 7w) + -2w = 6 Combine like terms: 7w + -2w = 5w 21 + 5w = 6 Solving 21 + 5w = 6 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 + 5w = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 5w = 6 + -21 5w = 6 + -21 Combine like terms: 6 + -21 = -15 5w = -15 Divide each side by '5'. w = -3 Simplifying w = -3
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