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Simplifying 1z + 81 = 9z + -7 Reorder the terms: 81 + 1z = 9z + -7 Reorder the terms: 81 + 1z = -7 + 9z Solving 81 + 1z = -7 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 81 + 1z + -9z = -7 + 9z + -9z Combine like terms: 1z + -9z = -8z 81 + -8z = -7 + 9z + -9z Combine like terms: 9z + -9z = 0 81 + -8z = -7 + 0 81 + -8z = -7 Add '-81' to each side of the equation. 81 + -81 + -8z = -7 + -81 Combine like terms: 81 + -81 = 0 0 + -8z = -7 + -81 -8z = -7 + -81 Combine like terms: -7 + -81 = -88 -8z = -88 Divide each side by '-8'. z = 11 Simplifying z = 11
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