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Simplifying 0.5(w + -4) = 5 Reorder the terms: 0.5(-4 + w) = 5 (-4 * 0.5 + w * 0.5) = 5 (-2 + 0.5w) = 5 Solving -2 + 0.5w = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 0.5w = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 0.5w = 5 + 2 0.5w = 5 + 2 Combine like terms: 5 + 2 = 7 0.5w = 7 Divide each side by '0.5'. w = 14 Simplifying w = 14
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