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Simplifying 2w + 9 = 7w Reorder the terms: 9 + 2w = 7w Solving 9 + 2w = 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. 9 + 2w + -7w = 7w + -7w Combine like terms: 2w + -7w = -5w 9 + -5w = 7w + -7w Combine like terms: 7w + -7w = 0 9 + -5w = 0 Add '-9' to each side of the equation. 9 + -9 + -5w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5w = 0 + -9 -5w = 0 + -9 Combine like terms: 0 + -9 = -9 -5w = -9 Divide each side by '-5'. w = 1.8 Simplifying w = 1.8
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