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Simplifying 7w + 3 = 2w + 23 Reorder the terms: 3 + 7w = 2w + 23 Reorder the terms: 3 + 7w = 23 + 2w Solving 3 + 7w = 23 + 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. 3 + 7w + -2w = 23 + 2w + -2w Combine like terms: 7w + -2w = 5w 3 + 5w = 23 + 2w + -2w Combine like terms: 2w + -2w = 0 3 + 5w = 23 + 0 3 + 5w = 23 Add '-3' to each side of the equation. 3 + -3 + 5w = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 5w = 23 + -3 5w = 23 + -3 Combine like terms: 23 + -3 = 20 5w = 20 Divide each side by '5'. w = 4 Simplifying w = 4
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