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Simplifying 0.42w + -11 = -0.57w Reorder the terms: -11 + 0.42w = -0.57w Solving -11 + 0.42w = -0.57w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.57w' to each side of the equation. -11 + 0.42w + 0.57w = -0.57w + 0.57w Combine like terms: 0.42w + 0.57w = 0.99w -11 + 0.99w = -0.57w + 0.57w Combine like terms: -0.57w + 0.57w = 0.00 -11 + 0.99w = 0.00 Add '11' to each side of the equation. -11 + 11 + 0.99w = 0.00 + 11 Combine like terms: -11 + 11 = 0 0 + 0.99w = 0.00 + 11 0.99w = 0.00 + 11 Combine like terms: 0.00 + 11 = 11 0.99w = 11 Divide each side by '0.99'. w = 11.11111111 Simplifying w = 11.11111111
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