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Simplifying 5(3w + -9) + 5w = 0 Reorder the terms: 5(-9 + 3w) + 5w = 0 (-9 * 5 + 3w * 5) + 5w = 0 (-45 + 15w) + 5w = 0 Combine like terms: 15w + 5w = 20w -45 + 20w = 0 Solving -45 + 20w = 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 + 20w = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 20w = 0 + 45 20w = 0 + 45 Combine like terms: 0 + 45 = 45 20w = 45 Divide each side by '20'. w = 2.25 Simplifying w = 2.25
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