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Simplifying 12w + -2z + 3w + -9z = 0 Reorder the terms: 12w + 3w + -2z + -9z = 0 Combine like terms: 12w + 3w = 15w 15w + -2z + -9z = 0 Combine like terms: -2z + -9z = -11z 15w + -11z = 0 Solving 15w + -11z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11z' to each side of the equation. 15w + -11z + 11z = 0 + 11z Combine like terms: -11z + 11z = 0 15w + 0 = 0 + 11z 15w = 0 + 11z Remove the zero: 15w = 11z Divide each side by '15'. w = 0.7333333333z Simplifying w = 0.7333333333z
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