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Simplifying -13z + 11 = -12z + -12 Reorder the terms: 11 + -13z = -12z + -12 Reorder the terms: 11 + -13z = -12 + -12z Solving 11 + -13z = -12 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. 11 + -13z + 12z = -12 + -12z + 12z Combine like terms: -13z + 12z = -1z 11 + -1z = -12 + -12z + 12z Combine like terms: -12z + 12z = 0 11 + -1z = -12 + 0 11 + -1z = -12 Add '-11' to each side of the equation. 11 + -11 + -1z = -12 + -11 Combine like terms: 11 + -11 = 0 0 + -1z = -12 + -11 -1z = -12 + -11 Combine like terms: -12 + -11 = -23 -1z = -23 Divide each side by '-1'. z = 23 Simplifying z = 23
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