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Simplifying 14w + 19w + -4 + 3 = 5w + 3 + -4 Reorder the terms: -4 + 3 + 14w + 19w = 5w + 3 + -4 Combine like terms: -4 + 3 = -1 -1 + 14w + 19w = 5w + 3 + -4 Combine like terms: 14w + 19w = 33w -1 + 33w = 5w + 3 + -4 Reorder the terms: -1 + 33w = 3 + -4 + 5w Combine like terms: 3 + -4 = -1 -1 + 33w = -1 + 5w Add '1' to each side of the equation. -1 + 1 + 33w = -1 + 1 + 5w Combine like terms: -1 + 1 = 0 0 + 33w = -1 + 1 + 5w 33w = -1 + 1 + 5w Combine like terms: -1 + 1 = 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 = 28w 28w = 5w + -5w Combine like terms: 5w + -5w = 0 28w = 0 Divide each side by '28'. w = 0 Simplifying w = 0
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