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Simplifying 0.2w + -4 = 0.8 + -1w Reorder the terms: -4 + 0.2w = 0.8 + -1w Solving -4 + 0.2w = 0.8 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -4 + 0.2w + w = 0.8 + -1w + w Combine like terms: 0.2w + w = 1.2w -4 + 1.2w = 0.8 + -1w + w Combine like terms: -1w + w = 0 -4 + 1.2w = 0.8 + 0 -4 + 1.2w = 0.8 Add '4' to each side of the equation. -4 + 4 + 1.2w = 0.8 + 4 Combine like terms: -4 + 4 = 0 0 + 1.2w = 0.8 + 4 1.2w = 0.8 + 4 Combine like terms: 0.8 + 4 = 4.8 1.2w = 4.8 Divide each side by '1.2'. w = 4 Simplifying w = 4
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