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Simplifying 14w + 17w + -4 + 3 = -3w + 3 + -4 Reorder the terms: -4 + 3 + 14w + 17w = -3w + 3 + -4 Combine like terms: -4 + 3 = -1 -1 + 14w + 17w = -3w + 3 + -4 Combine like terms: 14w + 17w = 31w -1 + 31w = -3w + 3 + -4 Reorder the terms: -1 + 31w = 3 + -4 + -3w Combine like terms: 3 + -4 = -1 -1 + 31w = -1 + -3w Add '1' to each side of the equation. -1 + 1 + 31w = -1 + 1 + -3w Combine like terms: -1 + 1 = 0 0 + 31w = -1 + 1 + -3w 31w = -1 + 1 + -3w Combine like terms: -1 + 1 = 0 31w = 0 + -3w 31w = -3w Solving 31w = -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 31w + 3w = -3w + 3w Combine like terms: 31w + 3w = 34w 34w = -3w + 3w Combine like terms: -3w + 3w = 0 34w = 0 Divide each side by '34'. w = 0 Simplifying w = 0
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