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Simplifying 7 + 3z + -1 = 9z + 12 + -7z Reorder the terms: 7 + -1 + 3z = 9z + 12 + -7z Combine like terms: 7 + -1 = 6 6 + 3z = 9z + 12 + -7z Reorder the terms: 6 + 3z = 12 + 9z + -7z Combine like terms: 9z + -7z = 2z 6 + 3z = 12 + 2z Solving 6 + 3z = 12 + 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. 6 + 3z + -2z = 12 + 2z + -2z Combine like terms: 3z + -2z = 1z 6 + 1z = 12 + 2z + -2z Combine like terms: 2z + -2z = 0 6 + 1z = 12 + 0 6 + 1z = 12 Add '-6' to each side of the equation. 6 + -6 + 1z = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = 12 + -6 1z = 12 + -6 Combine like terms: 12 + -6 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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