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Simplifying 3z + 8 = -8 + -6z Reorder the terms: 8 + 3z = -8 + -6z Solving 8 + 3z = -8 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 8 + 3z + 6z = -8 + -6z + 6z Combine like terms: 3z + 6z = 9z 8 + 9z = -8 + -6z + 6z Combine like terms: -6z + 6z = 0 8 + 9z = -8 + 0 8 + 9z = -8 Add '-8' to each side of the equation. 8 + -8 + 9z = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 9z = -8 + -8 9z = -8 + -8 Combine like terms: -8 + -8 = -16 9z = -16 Divide each side by '9'. z = -1.777777778 Simplifying z = -1.777777778
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