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Simplifying -0.33w + 0.83 = -0.40w + 0.16 Reorder the terms: 0.83 + -0.33w = -0.40w + 0.16 Reorder the terms: 0.83 + -0.33w = 0.16 + -0.40w Solving 0.83 + -0.33w = 0.16 + -0.40w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.40w' to each side of the equation. 0.83 + -0.33w + 0.40w = 0.16 + -0.40w + 0.40w Combine like terms: -0.33w + 0.40w = 0.07w 0.83 + 0.07w = 0.16 + -0.40w + 0.40w Combine like terms: -0.40w + 0.40w = 0.00 0.83 + 0.07w = 0.16 + 0.00 0.83 + 0.07w = 0.16 Add '-0.83' to each side of the equation. 0.83 + -0.83 + 0.07w = 0.16 + -0.83 Combine like terms: 0.83 + -0.83 = 0.00 0.00 + 0.07w = 0.16 + -0.83 0.07w = 0.16 + -0.83 Combine like terms: 0.16 + -0.83 = -0.67 0.07w = -0.67 Divide each side by '0.07'. w = -9.571428571 Simplifying w = -9.571428571
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