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Simplifying 7z + 9 + -1z = 7 + 5z + 5 Reorder the terms: 9 + 7z + -1z = 7 + 5z + 5 Combine like terms: 7z + -1z = 6z 9 + 6z = 7 + 5z + 5 Reorder the terms: 9 + 6z = 7 + 5 + 5z Combine like terms: 7 + 5 = 12 9 + 6z = 12 + 5z Solving 9 + 6z = 12 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 9 + 6z + -5z = 12 + 5z + -5z Combine like terms: 6z + -5z = 1z 9 + 1z = 12 + 5z + -5z Combine like terms: 5z + -5z = 0 9 + 1z = 12 + 0 9 + 1z = 12 Add '-9' to each side of the equation. 9 + -9 + 1z = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 12 + -9 1z = 12 + -9 Combine like terms: 12 + -9 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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