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Simplifying 19 = -82 + -4w + -17 Reorder the terms: 19 = -82 + -17 + -4w Combine like terms: -82 + -17 = -99 19 = -99 + -4w Solving 19 = -99 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 19 + 4w = -99 + -4w + 4w Combine like terms: -4w + 4w = 0 19 + 4w = -99 + 0 19 + 4w = -99 Add '-19' to each side of the equation. 19 + -19 + 4w = -99 + -19 Combine like terms: 19 + -19 = 0 0 + 4w = -99 + -19 4w = -99 + -19 Combine like terms: -99 + -19 = -118 4w = -118 Divide each side by '4'. w = -29.5 Simplifying w = -29.5
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