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Simplifying 0.428w + -11 = -0.571w Reorder the terms: -11 + 0.428w = -0.571w Solving -11 + 0.428w = -0.571w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.571w' to each side of the equation. -11 + 0.428w + 0.571w = -0.571w + 0.571w Combine like terms: 0.428w + 0.571w = 0.999w -11 + 0.999w = -0.571w + 0.571w Combine like terms: -0.571w + 0.571w = 0.000 -11 + 0.999w = 0.000 Add '11' to each side of the equation. -11 + 11 + 0.999w = 0.000 + 11 Combine like terms: -11 + 11 = 0 0 + 0.999w = 0.000 + 11 0.999w = 0.000 + 11 Combine like terms: 0.000 + 11 = 11 0.999w = 11 Divide each side by '0.999'. w = 11.01101101 Simplifying w = 11.01101101
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