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Simplifying 13w + 16w + -5 + 4 = -2w + 4 + -5 Reorder the terms: -5 + 4 + 13w + 16w = -2w + 4 + -5 Combine like terms: -5 + 4 = -1 -1 + 13w + 16w = -2w + 4 + -5 Combine like terms: 13w + 16w = 29w -1 + 29w = -2w + 4 + -5 Reorder the terms: -1 + 29w = 4 + -5 + -2w Combine like terms: 4 + -5 = -1 -1 + 29w = -1 + -2w Add '1' to each side of the equation. -1 + 1 + 29w = -1 + 1 + -2w Combine like terms: -1 + 1 = 0 0 + 29w = -1 + 1 + -2w 29w = -1 + 1 + -2w Combine like terms: -1 + 1 = 0 29w = 0 + -2w 29w = -2w Solving 29w = -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 29w + 2w = -2w + 2w Combine like terms: 29w + 2w = 31w 31w = -2w + 2w Combine like terms: -2w + 2w = 0 31w = 0 Divide each side by '31'. w = 0 Simplifying w = 0
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