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Simplifying 11 = 0.75(w + 12) + -0.25w Reorder the terms: 11 = 0.75(12 + w) + -0.25w 11 = (12 * 0.75 + w * 0.75) + -0.25w 11 = (9 + 0.75w) + -0.25w Combine like terms: 0.75w + -0.25w = 0.5w 11 = 9 + 0.5w Solving 11 = 9 + 0.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.5w' to each side of the equation. 11 + -0.5w = 9 + 0.5w + -0.5w Combine like terms: 0.5w + -0.5w = 0.0 11 + -0.5w = 9 + 0.0 11 + -0.5w = 9 Add '-11' to each side of the equation. 11 + -11 + -0.5w = 9 + -11 Combine like terms: 11 + -11 = 0 0 + -0.5w = 9 + -11 -0.5w = 9 + -11 Combine like terms: 9 + -11 = -2 -0.5w = -2 Divide each side by '-0.5'. w = 4 Simplifying w = 4
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