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Simplifying 0.8w + -15 = 0.4 + -0.2w Reorder the terms: -15 + 0.8w = 0.4 + -0.2w Solving -15 + 0.8w = 0.4 + -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. -15 + 0.8w + 0.2w = 0.4 + -0.2w + 0.2w Combine like terms: 0.8w + 0.2w = 1w -15 + 1w = 0.4 + -0.2w + 0.2w Combine like terms: -0.2w + 0.2w = 0.0 -15 + 1w = 0.4 + 0.0 -15 + 1w = 0.4 Add '15' to each side of the equation. -15 + 15 + 1w = 0.4 + 15 Combine like terms: -15 + 15 = 0 0 + 1w = 0.4 + 15 1w = 0.4 + 15 Combine like terms: 0.4 + 15 = 15.4 1w = 15.4 Divide each side by '1'. w = 15.4 Simplifying w = 15.4
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