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Simplifying -5(-8w + -3) + -9w = 0 Reorder the terms: -5(-3 + -8w) + -9w = 0 (-3 * -5 + -8w * -5) + -9w = 0 (15 + 40w) + -9w = 0 Combine like terms: 40w + -9w = 31w 15 + 31w = 0 Solving 15 + 31w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 31w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 31w = 0 + -15 31w = 0 + -15 Combine like terms: 0 + -15 = -15 31w = -15 Divide each side by '31'. w = -0.4838709677 Simplifying w = -0.4838709677
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