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Simplifying 6 + 2w + 5 + 1.5w + 1.5w = 21 Reorder the terms: 6 + 5 + 2w + 1.5w + 1.5w = 21 Combine like terms: 6 + 5 = 11 11 + 2w + 1.5w + 1.5w = 21 Combine like terms: 2w + 1.5w = 3.5w 11 + 3.5w + 1.5w = 21 Combine like terms: 3.5w + 1.5w = 5w 11 + 5w = 21 Solving 11 + 5w = 21 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5w = 21 + -11 Combine like terms: 11 + -11 = 0 0 + 5w = 21 + -11 5w = 21 + -11 Combine like terms: 21 + -11 = 10 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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