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Simplifying 0.8w + -0.4 = -5 + w Reorder the terms: -0.4 + 0.8w = -5 + w Solving -0.4 + 0.8w = -5 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -0.4 + 0.8w + -1w = -5 + w + -1w Combine like terms: 0.8w + -1w = -0.2w -0.4 + -0.2w = -5 + w + -1w Combine like terms: w + -1w = 0 -0.4 + -0.2w = -5 + 0 -0.4 + -0.2w = -5 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.2w = -5 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.2w = -5 + 0.4 -0.2w = -5 + 0.4 Combine like terms: -5 + 0.4 = -4.6 -0.2w = -4.6 Divide each side by '-0.2'. w = 23 Simplifying w = 23
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