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Simplifying 5w + 9 = 16 + -2w Reorder the terms: 9 + 5w = 16 + -2w Solving 9 + 5w = 16 + -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 + 5w + 2w = 16 + -2w + 2w Combine like terms: 5w + 2w = 7w 9 + 7w = 16 + -2w + 2w Combine like terms: -2w + 2w = 0 9 + 7w = 16 + 0 9 + 7w = 16 Add '-9' to each side of the equation. 9 + -9 + 7w = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 7w = 16 + -9 7w = 16 + -9 Combine like terms: 16 + -9 = 7 7w = 7 Divide each side by '7'. w = 1 Simplifying w = 1
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