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Simplifying 13w + 18w + -7 + 6 = -3w + 6 + -7 Reorder the terms: -7 + 6 + 13w + 18w = -3w + 6 + -7 Combine like terms: -7 + 6 = -1 -1 + 13w + 18w = -3w + 6 + -7 Combine like terms: 13w + 18w = 31w -1 + 31w = -3w + 6 + -7 Reorder the terms: -1 + 31w = 6 + -7 + -3w Combine like terms: 6 + -7 = -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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