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Simplifying 3z + -2 + 8 = 1 Reorder the terms: -2 + 8 + 3z = 1 Combine like terms: -2 + 8 = 6 6 + 3z = 1 Solving 6 + 3z = 1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3z = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 3z = 1 + -6 3z = 1 + -6 Combine like terms: 1 + -6 = -5 3z = -5 Divide each side by '3'. z = -1.666666667 Simplifying z = -1.666666667
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