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Simplifying 8 + 2z + -5 = 9z + 6 + -6z Reorder the terms: 8 + -5 + 2z = 9z + 6 + -6z Combine like terms: 8 + -5 = 3 3 + 2z = 9z + 6 + -6z Reorder the terms: 3 + 2z = 6 + 9z + -6z Combine like terms: 9z + -6z = 3z 3 + 2z = 6 + 3z Solving 3 + 2z = 6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 3 + 2z + -3z = 6 + 3z + -3z Combine like terms: 2z + -3z = -1z 3 + -1z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + -1z = 6 + 0 3 + -1z = 6 Add '-3' to each side of the equation. 3 + -3 + -1z = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 6 + -3 -1z = 6 + -3 Combine like terms: 6 + -3 = 3 -1z = 3 Divide each side by '-1'. z = -3 Simplifying z = -3
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