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Simplifying 12 + 7z = 2z + 22 Reorder the terms: 12 + 7z = 22 + 2z Solving 12 + 7z = 22 + 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. 12 + 7z + -2z = 22 + 2z + -2z Combine like terms: 7z + -2z = 5z 12 + 5z = 22 + 2z + -2z Combine like terms: 2z + -2z = 0 12 + 5z = 22 + 0 12 + 5z = 22 Add '-12' to each side of the equation. 12 + -12 + 5z = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 5z = 22 + -12 5z = 22 + -12 Combine like terms: 22 + -12 = 10 5z = 10 Divide each side by '5'. z = 2 Simplifying z = 2
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