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Simplifying 4z + -9z = 6z + -3 + 2 Combine like terms: 4z + -9z = -5z -5z = 6z + -3 + 2 Reorder the terms: -5z = -3 + 2 + 6z Combine like terms: -3 + 2 = -1 -5z = -1 + 6z Solving -5z = -1 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -5z + -6z = -1 + 6z + -6z Combine like terms: -5z + -6z = -11z -11z = -1 + 6z + -6z Combine like terms: 6z + -6z = 0 -11z = -1 + 0 -11z = -1 Divide each side by '-11'. z = 0.09090909091 Simplifying z = 0.09090909091
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