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Simplifying 0.3w + 4 = 0.8 + -0.2w Reorder the terms: 4 + 0.3w = 0.8 + -0.2w Solving 4 + 0.3w = 0.8 + -0.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.2w' to each side of the equation. 4 + 0.3w + 0.2w = 0.8 + -0.2w + 0.2w Combine like terms: 0.3w + 0.2w = 0.5w 4 + 0.5w = 0.8 + -0.2w + 0.2w Combine like terms: -0.2w + 0.2w = 0.0 4 + 0.5w = 0.8 + 0.0 4 + 0.5w = 0.8 Add '-4' to each side of the equation. 4 + -4 + 0.5w = 0.8 + -4 Combine like terms: 4 + -4 = 0 0 + 0.5w = 0.8 + -4 0.5w = 0.8 + -4 Combine like terms: 0.8 + -4 = -3.2 0.5w = -3.2 Divide each side by '0.5'. w = -6.4 Simplifying w = -6.4
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