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Simplifying 13w + 16w + -7 + 5 = -5w + 5 + -7 Reorder the terms: -7 + 5 + 13w + 16w = -5w + 5 + -7 Combine like terms: -7 + 5 = -2 -2 + 13w + 16w = -5w + 5 + -7 Combine like terms: 13w + 16w = 29w -2 + 29w = -5w + 5 + -7 Reorder the terms: -2 + 29w = 5 + -7 + -5w Combine like terms: 5 + -7 = -2 -2 + 29w = -2 + -5w Add '2' to each side of the equation. -2 + 2 + 29w = -2 + 2 + -5w Combine like terms: -2 + 2 = 0 0 + 29w = -2 + 2 + -5w 29w = -2 + 2 + -5w Combine like terms: -2 + 2 = 0 29w = 0 + -5w 29w = -5w Solving 29w = -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. 29w + 5w = -5w + 5w Combine like terms: 29w + 5w = 34w 34w = -5w + 5w Combine like terms: -5w + 5w = 0 34w = 0 Divide each side by '34'. w = 0 Simplifying w = 0
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