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Simplifying 0.6w + 0.5 = w + -0.3 Reorder the terms: 0.5 + 0.6w = w + -0.3 Reorder the terms: 0.5 + 0.6w = -0.3 + w Solving 0.5 + 0.6w = -0.3 + 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. 0.5 + 0.6w + -1w = -0.3 + w + -1w Combine like terms: 0.6w + -1w = -0.4w 0.5 + -0.4w = -0.3 + w + -1w Combine like terms: w + -1w = 0 0.5 + -0.4w = -0.3 + 0 0.5 + -0.4w = -0.3 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.4w = -0.3 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.4w = -0.3 + -0.5 -0.4w = -0.3 + -0.5 Combine like terms: -0.3 + -0.5 = -0.8 -0.4w = -0.8 Divide each side by '-0.4'. w = 2 Simplifying w = 2
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