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