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Simplifying -5000 + 0.5(w) + 0.8(x) = 0 Solving -5000 + 0.5w + 0.8x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5000' to each side of the equation. -5000 + 0.5w + 5000 + 0.8x = 0 + 5000 Reorder the terms: -5000 + 5000 + 0.5w + 0.8x = 0 + 5000 Combine like terms: -5000 + 5000 = 0 0 + 0.5w + 0.8x = 0 + 5000 0.5w + 0.8x = 0 + 5000 Combine like terms: 0 + 5000 = 5000 0.5w + 0.8x = 5000 Add '-0.8x' to each side of the equation. 0.5w + 0.8x + -0.8x = 5000 + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.5w + 0.0 = 5000 + -0.8x 0.5w = 5000 + -0.8x Divide each side by '0.5'. w = 10000 + -1.6x Simplifying w = 10000 + -1.6x
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