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Simplifying -19w + 140 = -829 Reorder the terms: 140 + -19w = -829 Solving 140 + -19w = -829 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + -19w = -829 + -140 Combine like terms: 140 + -140 = 0 0 + -19w = -829 + -140 -19w = -829 + -140 Combine like terms: -829 + -140 = -969 -19w = -969 Divide each side by '-19'. w = 51 Simplifying w = 51
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