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Simplifying 0.6w + -0.2 = 5 + w Reorder the terms: -0.2 + 0.6w = 5 + w Solving -0.2 + 0.6w = 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. -0.2 + 0.6w + -1w = 5 + w + -1w Combine like terms: 0.6w + -1w = -0.4w -0.2 + -0.4w = 5 + w + -1w Combine like terms: w + -1w = 0 -0.2 + -0.4w = 5 + 0 -0.2 + -0.4w = 5 Add '0.2' to each side of the equation. -0.2 + 0.2 + -0.4w = 5 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.4w = 5 + 0.2 -0.4w = 5 + 0.2 Combine like terms: 5 + 0.2 = 5.2 -0.4w = 5.2 Divide each side by '-0.4'. w = -13 Simplifying w = -13
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