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Simplifying w + 5(3w + -9) = 0 Reorder the terms: w + 5(-9 + 3w) = 0 w + (-9 * 5 + 3w * 5) = 0 w + (-45 + 15w) = 0 Reorder the terms: -45 + w + 15w = 0 Combine like terms: w + 15w = 16w -45 + 16w = 0 Solving -45 + 16w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 16w = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 16w = 0 + 45 16w = 0 + 45 Combine like terms: 0 + 45 = 45 16w = 45 Divide each side by '16'. w = 2.8125 Simplifying w = 2.8125
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