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Simplifying 23(w + -997) + 66 = 457 Reorder the terms: 23(-997 + w) + 66 = 457 (-997 * 23 + w * 23) + 66 = 457 (-22931 + 23w) + 66 = 457 Reorder the terms: -22931 + 66 + 23w = 457 Combine like terms: -22931 + 66 = -22865 -22865 + 23w = 457 Solving -22865 + 23w = 457 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '22865' to each side of the equation. -22865 + 22865 + 23w = 457 + 22865 Combine like terms: -22865 + 22865 = 0 0 + 23w = 457 + 22865 23w = 457 + 22865 Combine like terms: 457 + 22865 = 23322 23w = 23322 Divide each side by '23'. w = 1014 Simplifying w = 1014
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