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Simplifying -7w + 14 = -9w + -20 Reorder the terms: 14 + -7w = -9w + -20 Reorder the terms: 14 + -7w = -20 + -9w Solving 14 + -7w = -20 + -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. 14 + -7w + 9w = -20 + -9w + 9w Combine like terms: -7w + 9w = 2w 14 + 2w = -20 + -9w + 9w Combine like terms: -9w + 9w = 0 14 + 2w = -20 + 0 14 + 2w = -20 Add '-14' to each side of the equation. 14 + -14 + 2w = -20 + -14 Combine like terms: 14 + -14 = 0 0 + 2w = -20 + -14 2w = -20 + -14 Combine like terms: -20 + -14 = -34 2w = -34 Divide each side by '2'. w = -17 Simplifying w = -17
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