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Simplifying 9 + 3z + -1 = 9z + 16 + -7z Reorder the terms: 9 + -1 + 3z = 9z + 16 + -7z Combine like terms: 9 + -1 = 8 8 + 3z = 9z + 16 + -7z Reorder the terms: 8 + 3z = 16 + 9z + -7z Combine like terms: 9z + -7z = 2z 8 + 3z = 16 + 2z Solving 8 + 3z = 16 + 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. 8 + 3z + -2z = 16 + 2z + -2z Combine like terms: 3z + -2z = 1z 8 + 1z = 16 + 2z + -2z Combine like terms: 2z + -2z = 0 8 + 1z = 16 + 0 8 + 1z = 16 Add '-8' to each side of the equation. 8 + -8 + 1z = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 16 + -8 1z = 16 + -8 Combine like terms: 16 + -8 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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