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Simplifying -12 + 9w + 8 = -2w + 12 + -5w Reorder the terms: -12 + 8 + 9w = -2w + 12 + -5w Combine like terms: -12 + 8 = -4 -4 + 9w = -2w + 12 + -5w Reorder the terms: -4 + 9w = 12 + -2w + -5w Combine like terms: -2w + -5w = -7w -4 + 9w = 12 + -7w Solving -4 + 9w = 12 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -4 + 9w + 7w = 12 + -7w + 7w Combine like terms: 9w + 7w = 16w -4 + 16w = 12 + -7w + 7w Combine like terms: -7w + 7w = 0 -4 + 16w = 12 + 0 -4 + 16w = 12 Add '4' to each side of the equation. -4 + 4 + 16w = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 16w = 12 + 4 16w = 12 + 4 Combine like terms: 12 + 4 = 16 16w = 16 Divide each side by '16'. w = 1 Simplifying w = 1
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