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Simplifying 0.6 + -0.8 = -4 + w Combine like terms: 0.6 + -0.8 = -0.2 -0.2 = -4 + w Solving -0.2 = -4 + 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. -0.2 + -1w = -4 + w + -1w Combine like terms: w + -1w = 0 -0.2 + -1w = -4 + 0 -0.2 + -1w = -4 Add '0.2' to each side of the equation. -0.2 + 0.2 + -1w = -4 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -1w = -4 + 0.2 -1w = -4 + 0.2 Combine like terms: -4 + 0.2 = -3.8 -1w = -3.8 Divide each side by '-1'. w = 3.8 Simplifying w = 3.8
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