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Simplifying 45 = 54 + -1w Solving 45 = 54 + -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. 45 + w = 54 + -1w + w Combine like terms: -1w + w = 0 45 + w = 54 + 0 45 + w = 54 Add '-45' to each side of the equation. 45 + -45 + w = 54 + -45 Combine like terms: 45 + -45 = 0 0 + w = 54 + -45 w = 54 + -45 Combine like terms: 54 + -45 = 9 w = 9 Simplifying w = 9
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