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Simplifying -17.46w + 0.95 = 14.68w + 19.23 Reorder the terms: 0.95 + -17.46w = 14.68w + 19.23 Reorder the terms: 0.95 + -17.46w = 19.23 + 14.68w Solving 0.95 + -17.46w = 19.23 + 14.68w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14.68w' to each side of the equation. 0.95 + -17.46w + -14.68w = 19.23 + 14.68w + -14.68w Combine like terms: -17.46w + -14.68w = -32.14w 0.95 + -32.14w = 19.23 + 14.68w + -14.68w Combine like terms: 14.68w + -14.68w = 0.00 0.95 + -32.14w = 19.23 + 0.00 0.95 + -32.14w = 19.23 Add '-0.95' to each side of the equation. 0.95 + -0.95 + -32.14w = 19.23 + -0.95 Combine like terms: 0.95 + -0.95 = 0.00 0.00 + -32.14w = 19.23 + -0.95 -32.14w = 19.23 + -0.95 Combine like terms: 19.23 + -0.95 = 18.28 -32.14w = 18.28 Divide each side by '-32.14'. w = -0.5687616677 Simplifying w = -0.5687616677
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