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Simplifying w + 9 = 6 + 2w Reorder the terms: 9 + w = 6 + 2w Solving 9 + w = 6 + 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 + w + -2w = 6 + 2w + -2w Combine like terms: w + -2w = -1w 9 + -1w = 6 + 2w + -2w Combine like terms: 2w + -2w = 0 9 + -1w = 6 + 0 9 + -1w = 6 Add '-9' to each side of the equation. 9 + -9 + -1w = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 6 + -9 -1w = 6 + -9 Combine like terms: 6 + -9 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3
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