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Simplifying 6 + 0.5w = 8 + 0.3w Solving 6 + 0.5w = 8 + 0.3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.3w' to each side of the equation. 6 + 0.5w + -0.3w = 8 + 0.3w + -0.3w Combine like terms: 0.5w + -0.3w = 0.2w 6 + 0.2w = 8 + 0.3w + -0.3w Combine like terms: 0.3w + -0.3w = 0.0 6 + 0.2w = 8 + 0.0 6 + 0.2w = 8 Add '-6' to each side of the equation. 6 + -6 + 0.2w = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 0.2w = 8 + -6 0.2w = 8 + -6 Combine like terms: 8 + -6 = 2 0.2w = 2 Divide each side by '0.2'. w = 10 Simplifying w = 10
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