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Simplifying 8z + 9 + -6z = 7 + z + -6 Reorder the terms: 9 + 8z + -6z = 7 + z + -6 Combine like terms: 8z + -6z = 2z 9 + 2z = 7 + z + -6 Reorder the terms: 9 + 2z = 7 + -6 + z Combine like terms: 7 + -6 = 1 9 + 2z = 1 + z Solving 9 + 2z = 1 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 9 + 2z + -1z = 1 + z + -1z Combine like terms: 2z + -1z = 1z 9 + 1z = 1 + z + -1z Combine like terms: z + -1z = 0 9 + 1z = 1 + 0 9 + 1z = 1 Add '-9' to each side of the equation. 9 + -9 + 1z = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 1 + -9 1z = 1 + -9 Combine like terms: 1 + -9 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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