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Simplifying 9 + 12 = 2w + 5w Combine like terms: 9 + 12 = 21 21 = 2w + 5w Combine like terms: 2w + 5w = 7w 21 = 7w Solving 21 = 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 21 + -7w = 7w + -7w Combine like terms: 7w + -7w = 0 21 + -7w = 0 Add '-21' to each side of the equation. 21 + -21 + -7w = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -7w = 0 + -21 -7w = 0 + -21 Combine like terms: 0 + -21 = -21 -7w = -21 Divide each side by '-7'. w = 3 Simplifying w = 3
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