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Simplifying 19 = 8w + -4w + -17 Reorder the terms: 19 = -17 + 8w + -4w Combine like terms: 8w + -4w = 4w 19 = -17 + 4w Solving 19 = -17 + 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 = -17 + 4w + -4w Combine like terms: 4w + -4w = 0 19 + -4w = -17 + 0 19 + -4w = -17 Add '-19' to each side of the equation. 19 + -19 + -4w = -17 + -19 Combine like terms: 19 + -19 = 0 0 + -4w = -17 + -19 -4w = -17 + -19 Combine like terms: -17 + -19 = -36 -4w = -36 Divide each side by '-4'. w = 9 Simplifying w = 9
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