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Simplifying 0.5w + -0.67 = 0.83w + -0.2 Reorder the terms: -0.67 + 0.5w = 0.83w + -0.2 Reorder the terms: -0.67 + 0.5w = -0.2 + 0.83w Solving -0.67 + 0.5w = -0.2 + 0.83w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.83w' to each side of the equation. -0.67 + 0.5w + -0.83w = -0.2 + 0.83w + -0.83w Combine like terms: 0.5w + -0.83w = -0.33w -0.67 + -0.33w = -0.2 + 0.83w + -0.83w Combine like terms: 0.83w + -0.83w = 0.00 -0.67 + -0.33w = -0.2 + 0.00 -0.67 + -0.33w = -0.2 Add '0.67' to each side of the equation. -0.67 + 0.67 + -0.33w = -0.2 + 0.67 Combine like terms: -0.67 + 0.67 = 0.00 0.00 + -0.33w = -0.2 + 0.67 -0.33w = -0.2 + 0.67 Combine like terms: -0.2 + 0.67 = 0.47 -0.33w = 0.47 Divide each side by '-0.33'. w = -1.424242424 Simplifying w = -1.424242424
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