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Simplifying 5(w + -6) + -9w = 0 Reorder the terms: 5(-6 + w) + -9w = 0 (-6 * 5 + w * 5) + -9w = 0 (-30 + 5w) + -9w = 0 Combine like terms: 5w + -9w = -4w -30 + -4w = 0 Solving -30 + -4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -4w = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -4w = 0 + 30 -4w = 0 + 30 Combine like terms: 0 + 30 = 30 -4w = 30 Divide each side by '-4'. w = -7.5 Simplifying w = -7.5
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