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Simplifying 12z + 7 = 3z + -11 Reorder the terms: 7 + 12z = 3z + -11 Reorder the terms: 7 + 12z = -11 + 3z Solving 7 + 12z = -11 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 7 + 12z + -3z = -11 + 3z + -3z Combine like terms: 12z + -3z = 9z 7 + 9z = -11 + 3z + -3z Combine like terms: 3z + -3z = 0 7 + 9z = -11 + 0 7 + 9z = -11 Add '-7' to each side of the equation. 7 + -7 + 9z = -11 + -7 Combine like terms: 7 + -7 = 0 0 + 9z = -11 + -7 9z = -11 + -7 Combine like terms: -11 + -7 = -18 9z = -18 Divide each side by '9'. z = -2 Simplifying z = -2
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