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Simplifying 3z + -1z = 3z + -7 + 5z Combine like terms: 3z + -1z = 2z 2z = 3z + -7 + 5z Reorder the terms: 2z = -7 + 3z + 5z Combine like terms: 3z + 5z = 8z 2z = -7 + 8z Solving 2z = -7 + 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. 2z + -8z = -7 + 8z + -8z Combine like terms: 2z + -8z = -6z -6z = -7 + 8z + -8z Combine like terms: 8z + -8z = 0 -6z = -7 + 0 -6z = -7 Divide each side by '-6'. z = 1.166666667 Simplifying z = 1.166666667
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