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Simplifying 2 + -5z = 9z + -1 + -1z Reorder the terms: 2 + -5z = -1 + 9z + -1z Combine like terms: 9z + -1z = 8z 2 + -5z = -1 + 8z Solving 2 + -5z = -1 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 2 + -5z + -8z = -1 + 8z + -8z Combine like terms: -5z + -8z = -13z 2 + -13z = -1 + 8z + -8z Combine like terms: 8z + -8z = 0 2 + -13z = -1 + 0 2 + -13z = -1 Add '-2' to each side of the equation. 2 + -2 + -13z = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -13z = -1 + -2 -13z = -1 + -2 Combine like terms: -1 + -2 = -3 -13z = -3 Divide each side by '-13'. z = 0.2307692308 Simplifying z = 0.2307692308
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