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