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Simplifying 9 = -5(w + 6) Reorder the terms: 9 = -5(6 + w) 9 = (6 * -5 + w * -5) 9 = (-30 + -5w) Solving 9 = -30 + -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. 9 + 5w = -30 + -5w + 5w Combine like terms: -5w + 5w = 0 9 + 5w = -30 + 0 9 + 5w = -30 Add '-9' to each side of the equation. 9 + -9 + 5w = -30 + -9 Combine like terms: 9 + -9 = 0 0 + 5w = -30 + -9 5w = -30 + -9 Combine like terms: -30 + -9 = -39 5w = -39 Divide each side by '5'. w = -7.8 Simplifying w = -7.8
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