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Simplifying 365 = -5(w + -978) Reorder the terms: 365 = -5(-978 + w) 365 = (-978 * -5 + w * -5) 365 = (4890 + -5w) Solving 365 = 4890 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 365 + 5w = 4890 + -5w + 5w Combine like terms: -5w + 5w = 0 365 + 5w = 4890 + 0 365 + 5w = 4890 Add '-365' to each side of the equation. 365 + -365 + 5w = 4890 + -365 Combine like terms: 365 + -365 = 0 0 + 5w = 4890 + -365 5w = 4890 + -365 Combine like terms: 4890 + -365 = 4525 5w = 4525 Divide each side by '5'. w = 905 Simplifying w = 905
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