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Simplifying 51 = 5w + -9 Reorder the terms: 51 = -9 + 5w Solving 51 = -9 + 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. 51 + -5w = -9 + 5w + -5w Combine like terms: 5w + -5w = 0 51 + -5w = -9 + 0 51 + -5w = -9 Add '-51' to each side of the equation. 51 + -51 + -5w = -9 + -51 Combine like terms: 51 + -51 = 0 0 + -5w = -9 + -51 -5w = -9 + -51 Combine like terms: -9 + -51 = -60 -5w = -60 Divide each side by '-5'. w = 12 Simplifying w = 12
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