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Simplifying 102 + 65z + 7z = 5z + 6z + -81 Combine like terms: 65z + 7z = 72z 102 + 72z = 5z + 6z + -81 Reorder the terms: 102 + 72z = -81 + 5z + 6z Combine like terms: 5z + 6z = 11z 102 + 72z = -81 + 11z Solving 102 + 72z = -81 + 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. 102 + 72z + -11z = -81 + 11z + -11z Combine like terms: 72z + -11z = 61z 102 + 61z = -81 + 11z + -11z Combine like terms: 11z + -11z = 0 102 + 61z = -81 + 0 102 + 61z = -81 Add '-102' to each side of the equation. 102 + -102 + 61z = -81 + -102 Combine like terms: 102 + -102 = 0 0 + 61z = -81 + -102 61z = -81 + -102 Combine like terms: -81 + -102 = -183 61z = -183 Divide each side by '61'. z = -3 Simplifying z = -3
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