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Simplifying 8 + w + -4.7w + -0.5 = 0 Reorder the terms: 8 + -0.5 + w + -4.7w = 0 Combine like terms: 8 + -0.5 = 7.5 7.5 + w + -4.7w = 0 Combine like terms: w + -4.7w = -3.7w 7.5 + -3.7w = 0 Solving 7.5 + -3.7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + -3.7w = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -3.7w = 0 + -7.5 -3.7w = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -3.7w = -7.5 Divide each side by '-3.7'. w = 2.027027027 Simplifying w = 2.027027027
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