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Simplifying w + 2 = 2w + -9 Reorder the terms: 2 + w = 2w + -9 Reorder the terms: 2 + w = -9 + 2w Solving 2 + w = -9 + 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. 2 + w + -2w = -9 + 2w + -2w Combine like terms: w + -2w = -1w 2 + -1w = -9 + 2w + -2w Combine like terms: 2w + -2w = 0 2 + -1w = -9 + 0 2 + -1w = -9 Add '-2' to each side of the equation. 2 + -2 + -1w = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = -9 + -2 -1w = -9 + -2 Combine like terms: -9 + -2 = -11 -1w = -11 Divide each side by '-1'. w = 11 Simplifying w = 11
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