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Simplifying 0 = 8z + -1(3 + -1z) 0 = 8z + (3 * -1 + -1z * -1) 0 = 8z + (-3 + 1z) Reorder the terms: 0 = -3 + 8z + 1z Combine like terms: 8z + 1z = 9z 0 = -3 + 9z Solving 0 = -3 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 0 + -9z = -3 + 9z + -9z Remove the zero: -9z = -3 + 9z + -9z Combine like terms: 9z + -9z = 0 -9z = -3 + 0 -9z = -3 Divide each side by '-9'. z = 0.3333333333 Simplifying z = 0.3333333333
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