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Simplifying 0.25(w + 4) + 0.5w = 10 Reorder the terms: 0.25(4 + w) + 0.5w = 10 (4 * 0.25 + w * 0.25) + 0.5w = 10 (1 + 0.25w) + 0.5w = 10 Combine like terms: 0.25w + 0.5w = 0.75w 1 + 0.75w = 10 Solving 1 + 0.75w = 10 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.75w = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 0.75w = 10 + -1 0.75w = 10 + -1 Combine like terms: 10 + -1 = 9 0.75w = 9 Divide each side by '0.75'. w = 12 Simplifying w = 12
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