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Simplifying 3w + -4(3z + -3w) + 2z = 0 Reorder the terms: 3w + -4(-3w + 3z) + 2z = 0 3w + (-3w * -4 + 3z * -4) + 2z = 0 3w + (12w + -12z) + 2z = 0 Combine like terms: 3w + 12w = 15w 15w + -12z + 2z = 0 Combine like terms: -12z + 2z = -10z 15w + -10z = 0 Solving 15w + -10z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10z' to each side of the equation. 15w + -10z + 10z = 0 + 10z Combine like terms: -10z + 10z = 0 15w + 0 = 0 + 10z 15w = 0 + 10z Remove the zero: 15w = 10z Divide each side by '15'. w = 0.6666666667z Simplifying w = 0.6666666667z
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