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Simplifying 12z + -7 = 2z + 2 + 9z Reorder the terms: -7 + 12z = 2z + 2 + 9z Reorder the terms: -7 + 12z = 2 + 2z + 9z Combine like terms: 2z + 9z = 11z -7 + 12z = 2 + 11z Solving -7 + 12z = 2 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -7 + 12z + -11z = 2 + 11z + -11z Combine like terms: 12z + -11z = 1z -7 + 1z = 2 + 11z + -11z Combine like terms: 11z + -11z = 0 -7 + 1z = 2 + 0 -7 + 1z = 2 Add '7' to each side of the equation. -7 + 7 + 1z = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1z = 2 + 7 1z = 2 + 7 Combine like terms: 2 + 7 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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