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Simplifying -5(w + 6) + 9 = -51 Reorder the terms: -5(6 + w) + 9 = -51 (6 * -5 + w * -5) + 9 = -51 (-30 + -5w) + 9 = -51 Reorder the terms: -30 + 9 + -5w = -51 Combine like terms: -30 + 9 = -21 -21 + -5w = -51 Solving -21 + -5w = -51 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -5w = -51 + 21 Combine like terms: -21 + 21 = 0 0 + -5w = -51 + 21 -5w = -51 + 21 Combine like terms: -51 + 21 = -30 -5w = -30 Divide each side by '-5'. w = 6 Simplifying w = 6
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