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Simplifying -1.82w + -1.81 = 1.57 + 7.17 Reorder the terms: -1.81 + -1.82w = 1.57 + 7.17 Combine like terms: 1.57 + 7.17 = 8.74 -1.81 + -1.82w = 8.74 Solving -1.81 + -1.82w = 8.74 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1.81' to each side of the equation. -1.81 + 1.81 + -1.82w = 8.74 + 1.81 Combine like terms: -1.81 + 1.81 = 0.00 0.00 + -1.82w = 8.74 + 1.81 -1.82w = 8.74 + 1.81 Combine like terms: 8.74 + 1.81 = 10.55 -1.82w = 10.55 Divide each side by '-1.82'. w = -5.796703297 Simplifying w = -5.796703297
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