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Simplifying -9 + 8z + -3 + 5z = 0 Reorder the terms: -9 + -3 + 8z + 5z = 0 Combine like terms: -9 + -3 = -12 -12 + 8z + 5z = 0 Combine like terms: 8z + 5z = 13z -12 + 13z = 0 Solving -12 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 13z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 13z = 0 + 12 13z = 0 + 12 Combine like terms: 0 + 12 = 12 13z = 12 Divide each side by '13'. z = 0.9230769231 Simplifying z = 0.9230769231
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