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Simplifying -5z + -8z = -9z + 1 + 8z Combine like terms: -5z + -8z = -13z -13z = -9z + 1 + 8z Reorder the terms: -13z = 1 + -9z + 8z Combine like terms: -9z + 8z = -1z -13z = 1 + -1z Solving -13z = 1 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -13z + z = 1 + -1z + z Combine like terms: -13z + z = -12z -12z = 1 + -1z + z Combine like terms: -1z + z = 0 -12z = 1 + 0 -12z = 1 Divide each side by '-12'. z = -0.08333333333 Simplifying z = -0.08333333333
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