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Simplifying 0.25w + 0.5w + 5 = 11 Reorder the terms: 5 + 0.25w + 0.5w = 11 Combine like terms: 0.25w + 0.5w = 0.75w 5 + 0.75w = 11 Solving 5 + 0.75w = 11 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 0.75w = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 0.75w = 11 + -5 0.75w = 11 + -5 Combine like terms: 11 + -5 = 6 0.75w = 6 Divide each side by '0.75'. w = 8 Simplifying w = 8
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