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Simplifying 3w + -3(6z + -4w) + 4z = 0 Reorder the terms: 3w + -3(-4w + 6z) + 4z = 0 3w + (-4w * -3 + 6z * -3) + 4z = 0 3w + (12w + -18z) + 4z = 0 Combine like terms: 3w + 12w = 15w 15w + -18z + 4z = 0 Combine like terms: -18z + 4z = -14z 15w + -14z = 0 Solving 15w + -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. 15w + -14z + 14z = 0 + 14z Combine like terms: -14z + 14z = 0 15w + 0 = 0 + 14z 15w = 0 + 14z Remove the zero: 15w = 14z Divide each side by '15'. w = 0.9333333333z Simplifying w = 0.9333333333z
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