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Simplifying 8w + -1[7z + -2(5w + -9z)] = 0 8w + -1[7z + (5w * -2 + -9z * -2)] = 0 8w + -1[7z + (-10w + 18z)] = 0 Reorder the terms: 8w + -1[-10w + 7z + 18z] = 0 Combine like terms: 7z + 18z = 25z 8w + -1[-10w + 25z] = 0 8w + [-10w * -1 + 25z * -1] = 0 8w + [10w + -25z] = 0 Combine like terms: 8w + 10w = 18w 18w + -25z = 0 Solving 18w + -25z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '25z' to each side of the equation. 18w + -25z + 25z = 0 + 25z Combine like terms: -25z + 25z = 0 18w + 0 = 0 + 25z 18w = 0 + 25z Remove the zero: 18w = 25z Divide each side by '18'. w = 1.388888889z Simplifying w = 1.388888889z
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