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Simplifying -3w + -3(4z + -4w) + 2z = 0 Reorder the terms: -3w + -3(-4w + 4z) + 2z = 0 -3w + (-4w * -3 + 4z * -3) + 2z = 0 -3w + (12w + -12z) + 2z = 0 Combine like terms: -3w + 12w = 9w 9w + -12z + 2z = 0 Combine like terms: -12z + 2z = -10z 9w + -10z = 0 Solving 9w + -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. 9w + -10z + 10z = 0 + 10z Combine like terms: -10z + 10z = 0 9w + 0 = 0 + 10z 9w = 0 + 10z Remove the zero: 9w = 10z Divide each side by '9'. w = 1.111111111z Simplifying w = 1.111111111z
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