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Simplifying 15w + 16w + -7 + 6 = -2w + 6 + -7 Reorder the terms: -7 + 6 + 15w + 16w = -2w + 6 + -7 Combine like terms: -7 + 6 = -1 -1 + 15w + 16w = -2w + 6 + -7 Combine like terms: 15w + 16w = 31w -1 + 31w = -2w + 6 + -7 Reorder the terms: -1 + 31w = 6 + -7 + -2w Combine like terms: 6 + -7 = -1 -1 + 31w = -1 + -2w Add '1' to each side of the equation. -1 + 1 + 31w = -1 + 1 + -2w Combine like terms: -1 + 1 = 0 0 + 31w = -1 + 1 + -2w 31w = -1 + 1 + -2w Combine like terms: -1 + 1 = 0 31w = 0 + -2w 31w = -2w Solving 31w = -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. 31w + 2w = -2w + 2w Combine like terms: 31w + 2w = 33w 33w = -2w + 2w Combine like terms: -2w + 2w = 0 33w = 0 Divide each side by '33'. w = 0 Simplifying w = 0
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