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Simplifying -19w + 15 = -17w + -7 + -4w Reorder the terms: 15 + -19w = -17w + -7 + -4w Reorder the terms: 15 + -19w = -7 + -17w + -4w Combine like terms: -17w + -4w = -21w 15 + -19w = -7 + -21w Solving 15 + -19w = -7 + -21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21w' to each side of the equation. 15 + -19w + 21w = -7 + -21w + 21w Combine like terms: -19w + 21w = 2w 15 + 2w = -7 + -21w + 21w Combine like terms: -21w + 21w = 0 15 + 2w = -7 + 0 15 + 2w = -7 Add '-15' to each side of the equation. 15 + -15 + 2w = -7 + -15 Combine like terms: 15 + -15 = 0 0 + 2w = -7 + -15 2w = -7 + -15 Combine like terms: -7 + -15 = -22 2w = -22 Divide each side by '2'. w = -11 Simplifying w = -11
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