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Simplifying 14w + -17 + 3w = 15 + 19w Reorder the terms: -17 + 14w + 3w = 15 + 19w Combine like terms: 14w + 3w = 17w -17 + 17w = 15 + 19w Solving -17 + 17w = 15 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. -17 + 17w + -19w = 15 + 19w + -19w Combine like terms: 17w + -19w = -2w -17 + -2w = 15 + 19w + -19w Combine like terms: 19w + -19w = 0 -17 + -2w = 15 + 0 -17 + -2w = 15 Add '17' to each side of the equation. -17 + 17 + -2w = 15 + 17 Combine like terms: -17 + 17 = 0 0 + -2w = 15 + 17 -2w = 15 + 17 Combine like terms: 15 + 17 = 32 -2w = 32 Divide each side by '-2'. w = -16 Simplifying w = -16
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