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Simplifying 8 = 0.5w + 6 Reorder the terms: 8 = 6 + 0.5w Solving 8 = 6 + 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. 8 + -0.5w = 6 + 0.5w + -0.5w Combine like terms: 0.5w + -0.5w = 0.0 8 + -0.5w = 6 + 0.0 8 + -0.5w = 6 Add '-8' to each side of the equation. 8 + -8 + -0.5w = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -0.5w = 6 + -8 -0.5w = 6 + -8 Combine like terms: 6 + -8 = -2 -0.5w = -2 Divide each side by '-0.5'. w = 4 Simplifying w = 4
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