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Simplifying 13w + 18w + -3 + 1 = -3w + 1 + -3 Reorder the terms: -3 + 1 + 13w + 18w = -3w + 1 + -3 Combine like terms: -3 + 1 = -2 -2 + 13w + 18w = -3w + 1 + -3 Combine like terms: 13w + 18w = 31w -2 + 31w = -3w + 1 + -3 Reorder the terms: -2 + 31w = 1 + -3 + -3w Combine like terms: 1 + -3 = -2 -2 + 31w = -2 + -3w Add '2' to each side of the equation. -2 + 2 + 31w = -2 + 2 + -3w Combine like terms: -2 + 2 = 0 0 + 31w = -2 + 2 + -3w 31w = -2 + 2 + -3w Combine like terms: -2 + 2 = 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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