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Simplifying 14w + 19w + -6 + 2 = -5w + 2 + -6 Reorder the terms: -6 + 2 + 14w + 19w = -5w + 2 + -6 Combine like terms: -6 + 2 = -4 -4 + 14w + 19w = -5w + 2 + -6 Combine like terms: 14w + 19w = 33w -4 + 33w = -5w + 2 + -6 Reorder the terms: -4 + 33w = 2 + -6 + -5w Combine like terms: 2 + -6 = -4 -4 + 33w = -4 + -5w Add '4' to each side of the equation. -4 + 4 + 33w = -4 + 4 + -5w Combine like terms: -4 + 4 = 0 0 + 33w = -4 + 4 + -5w 33w = -4 + 4 + -5w Combine like terms: -4 + 4 = 0 33w = 0 + -5w 33w = -5w Solving 33w = -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 33w + 5w = -5w + 5w Combine like terms: 33w + 5w = 38w 38w = -5w + 5w Combine like terms: -5w + 5w = 0 38w = 0 Divide each side by '38'. w = 0 Simplifying w = 0
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