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Simplifying 9 + 5(3w + 6) = 0 Reorder the terms: 9 + 5(6 + 3w) = 0 9 + (6 * 5 + 3w * 5) = 0 9 + (30 + 15w) = 0 Combine like terms: 9 + 30 = 39 39 + 15w = 0 Solving 39 + 15w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 15w = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 15w = 0 + -39 15w = 0 + -39 Combine like terms: 0 + -39 = -39 15w = -39 Divide each side by '15'. w = -2.6 Simplifying w = -2.6
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