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Simplifying 9w + 7 = 2w Reorder the terms: 7 + 9w = 2w Solving 7 + 9w = 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. 7 + 9w + -2w = 2w + -2w Combine like terms: 9w + -2w = 7w 7 + 7w = 2w + -2w Combine like terms: 2w + -2w = 0 7 + 7w = 0 Add '-7' to each side of the equation. 7 + -7 + 7w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7w = 0 + -7 7w = 0 + -7 Combine like terms: 0 + -7 = -7 7w = -7 Divide each side by '7'. w = -1 Simplifying w = -1
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