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Simplifying 3w + -3(6z + -5w) + 4z = 0 Reorder the terms: 3w + -3(-5w + 6z) + 4z = 0 3w + (-5w * -3 + 6z * -3) + 4z = 0 3w + (15w + -18z) + 4z = 0 Combine like terms: 3w + 15w = 18w 18w + -18z + 4z = 0 Combine like terms: -18z + 4z = -14z 18w + -14z = 0 Solving 18w + -14z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14z' to each side of the equation. 18w + -14z + 14z = 0 + 14z Combine like terms: -14z + 14z = 0 18w + 0 = 0 + 14z 18w = 0 + 14z Remove the zero: 18w = 14z Divide each side by '18'. w = 0.7777777778z Simplifying w = 0.7777777778z
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