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Simplifying -1z + 8 = 6z + -2 + -1z Reorder the terms: 8 + -1z = 6z + -2 + -1z Reorder the terms: 8 + -1z = -2 + 6z + -1z Combine like terms: 6z + -1z = 5z 8 + -1z = -2 + 5z Solving 8 + -1z = -2 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 8 + -1z + -5z = -2 + 5z + -5z Combine like terms: -1z + -5z = -6z 8 + -6z = -2 + 5z + -5z Combine like terms: 5z + -5z = 0 8 + -6z = -2 + 0 8 + -6z = -2 Add '-8' to each side of the equation. 8 + -8 + -6z = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -6z = -2 + -8 -6z = -2 + -8 Combine like terms: -2 + -8 = -10 -6z = -10 Divide each side by '-6'. z = 1.666666667 Simplifying z = 1.666666667
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