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Simplifying 9z + 6 + -7z = 6 + z + 7 Reorder the terms: 6 + 9z + -7z = 6 + z + 7 Combine like terms: 9z + -7z = 2z 6 + 2z = 6 + z + 7 Reorder the terms: 6 + 2z = 6 + 7 + z Combine like terms: 6 + 7 = 13 6 + 2z = 13 + z Solving 6 + 2z = 13 + 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. 6 + 2z + -1z = 13 + z + -1z Combine like terms: 2z + -1z = 1z 6 + 1z = 13 + z + -1z Combine like terms: z + -1z = 0 6 + 1z = 13 + 0 6 + 1z = 13 Add '-6' to each side of the equation. 6 + -6 + 1z = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = 13 + -6 1z = 13 + -6 Combine like terms: 13 + -6 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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