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Simplifying 9z + 1 + -7z = 6 + z + 4 Reorder the terms: 1 + 9z + -7z = 6 + z + 4 Combine like terms: 9z + -7z = 2z 1 + 2z = 6 + z + 4 Reorder the terms: 1 + 2z = 6 + 4 + z Combine like terms: 6 + 4 = 10 1 + 2z = 10 + z Solving 1 + 2z = 10 + 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. 1 + 2z + -1z = 10 + z + -1z Combine like terms: 2z + -1z = 1z 1 + 1z = 10 + z + -1z Combine like terms: z + -1z = 0 1 + 1z = 10 + 0 1 + 1z = 10 Add '-1' to each side of the equation. 1 + -1 + 1z = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 10 + -1 1z = 10 + -1 Combine like terms: 10 + -1 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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