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