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Simplifying 0.5(w + -15.2) = 37.75 Reorder the terms: 0.5(-15.2 + w) = 37.75 (-15.2 * 0.5 + w * 0.5) = 37.75 (-7.6 + 0.5w) = 37.75 Solving -7.6 + 0.5w = 37.75 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7.6' to each side of the equation. -7.6 + 7.6 + 0.5w = 37.75 + 7.6 Combine like terms: -7.6 + 7.6 = 0.0 0.0 + 0.5w = 37.75 + 7.6 0.5w = 37.75 + 7.6 Combine like terms: 37.75 + 7.6 = 45.35 0.5w = 45.35 Divide each side by '0.5'. w = 90.7 Simplifying w = 90.7
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