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Simplifying 9 = w + -11 + 12 Reorder the terms: 9 = -11 + 12 + w Combine like terms: -11 + 12 = 1 9 = 1 + w Solving 9 = 1 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 9 + -1w = 1 + w + -1w Combine like terms: w + -1w = 0 9 + -1w = 1 + 0 9 + -1w = 1 Add '-9' to each side of the equation. 9 + -9 + -1w = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 1 + -9 -1w = 1 + -9 Combine like terms: 1 + -9 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8
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