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Simplifying 7 + 3z + -5 = 9z + 6 + -7z Reorder the terms: 7 + -5 + 3z = 9z + 6 + -7z Combine like terms: 7 + -5 = 2 2 + 3z = 9z + 6 + -7z Reorder the terms: 2 + 3z = 6 + 9z + -7z Combine like terms: 9z + -7z = 2z 2 + 3z = 6 + 2z Solving 2 + 3z = 6 + 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. 2 + 3z + -2z = 6 + 2z + -2z Combine like terms: 3z + -2z = 1z 2 + 1z = 6 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + 1z = 6 + 0 2 + 1z = 6 Add '-2' to each side of the equation. 2 + -2 + 1z = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 6 + -2 1z = 6 + -2 Combine like terms: 6 + -2 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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