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Simplifying 13 + 7w = 2w + 23 Reorder the terms: 13 + 7w = 23 + 2w Solving 13 + 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. 13 + 7w + -2w = 23 + 2w + -2w Combine like terms: 7w + -2w = 5w 13 + 5w = 23 + 2w + -2w Combine like terms: 2w + -2w = 0 13 + 5w = 23 + 0 13 + 5w = 23 Add '-13' to each side of the equation. 13 + -13 + 5w = 23 + -13 Combine like terms: 13 + -13 = 0 0 + 5w = 23 + -13 5w = 23 + -13 Combine like terms: 23 + -13 = 10 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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