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Simplifying 33 = 42 + -1w Solving 33 = 42 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 33 + w = 42 + -1w + w Combine like terms: -1w + w = 0 33 + w = 42 + 0 33 + w = 42 Add '-33' to each side of the equation. 33 + -33 + w = 42 + -33 Combine like terms: 33 + -33 = 0 0 + w = 42 + -33 w = 42 + -33 Combine like terms: 42 + -33 = 9 w = 9 Simplifying w = 9
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