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Simplifying 7(w + 3) = 2w + 46 Reorder the terms: 7(3 + w) = 2w + 46 (3 * 7 + w * 7) = 2w + 46 (21 + 7w) = 2w + 46 Reorder the terms: 21 + 7w = 46 + 2w Solving 21 + 7w = 46 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 21 + 7w + -2w = 46 + 2w + -2w Combine like terms: 7w + -2w = 5w 21 + 5w = 46 + 2w + -2w Combine like terms: 2w + -2w = 0 21 + 5w = 46 + 0 21 + 5w = 46 Add '-21' to each side of the equation. 21 + -21 + 5w = 46 + -21 Combine like terms: 21 + -21 = 0 0 + 5w = 46 + -21 5w = 46 + -21 Combine like terms: 46 + -21 = 25 5w = 25 Divide each side by '5'. w = 5 Simplifying w = 5
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