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Simplifying 45w = 51w + -30 Reorder the terms: 45w = -30 + 51w Solving 45w = -30 + 51w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-51w' to each side of the equation. 45w + -51w = -30 + 51w + -51w Combine like terms: 45w + -51w = -6w -6w = -30 + 51w + -51w Combine like terms: 51w + -51w = 0 -6w = -30 + 0 -6w = -30 Divide each side by '-6'. w = 5 Simplifying w = 5
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