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Simplifying 0.8 + -0.2 = -5 + w Combine like terms: 0.8 + -0.2 = 0.6 0.6 = -5 + w Solving 0.6 = -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. 0.6 + -1w = -5 + w + -1w Combine like terms: w + -1w = 0 0.6 + -1w = -5 + 0 0.6 + -1w = -5 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -1w = -5 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -1w = -5 + -0.6 -1w = -5 + -0.6 Combine like terms: -5 + -0.6 = -5.6 -1w = -5.6 Divide each side by '-1'. w = 5.6 Simplifying w = 5.6
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