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Simplifying 2(w + -5) + 1.73 = 13.73 Reorder the terms: 2(-5 + w) + 1.73 = 13.73 (-5 * 2 + w * 2) + 1.73 = 13.73 (-10 + 2w) + 1.73 = 13.73 Reorder the terms: -10 + 1.73 + 2w = 13.73 Combine like terms: -10 + 1.73 = -8.27 -8.27 + 2w = 13.73 Solving -8.27 + 2w = 13.73 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8.27' to each side of the equation. -8.27 + 8.27 + 2w = 13.73 + 8.27 Combine like terms: -8.27 + 8.27 = 0.00 0.00 + 2w = 13.73 + 8.27 2w = 13.73 + 8.27 Combine like terms: 13.73 + 8.27 = 22 2w = 22 Divide each side by '2'. w = 11 Simplifying w = 11
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