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Simplifying 14w + 19w + -7 + 4 = -5w + 4 + -7 Reorder the terms: -7 + 4 + 14w + 19w = -5w + 4 + -7 Combine like terms: -7 + 4 = -3 -3 + 14w + 19w = -5w + 4 + -7 Combine like terms: 14w + 19w = 33w -3 + 33w = -5w + 4 + -7 Reorder the terms: -3 + 33w = 4 + -7 + -5w Combine like terms: 4 + -7 = -3 -3 + 33w = -3 + -5w Add '3' to each side of the equation. -3 + 3 + 33w = -3 + 3 + -5w Combine like terms: -3 + 3 = 0 0 + 33w = -3 + 3 + -5w 33w = -3 + 3 + -5w Combine like terms: -3 + 3 = 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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