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Simplifying -0.33w + 0.625 = 0.17w + 0.86 Reorder the terms: 0.625 + -0.33w = 0.17w + 0.86 Reorder the terms: 0.625 + -0.33w = 0.86 + 0.17w Solving 0.625 + -0.33w = 0.86 + 0.17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.17w' to each side of the equation. 0.625 + -0.33w + -0.17w = 0.86 + 0.17w + -0.17w Combine like terms: -0.33w + -0.17w = -0.5w 0.625 + -0.5w = 0.86 + 0.17w + -0.17w Combine like terms: 0.17w + -0.17w = 0.00 0.625 + -0.5w = 0.86 + 0.00 0.625 + -0.5w = 0.86 Add '-0.625' to each side of the equation. 0.625 + -0.625 + -0.5w = 0.86 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.5w = 0.86 + -0.625 -0.5w = 0.86 + -0.625 Combine like terms: 0.86 + -0.625 = 0.235 -0.5w = 0.235 Divide each side by '-0.5'. w = -0.47 Simplifying w = -0.47
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