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Simplifying 102 + 65z + 7c = 5z + 6z + -81 Reorder the terms: 102 + 7c + 65z = 5z + 6z + -81 Reorder the terms: 102 + 7c + 65z = -81 + 5z + 6z Combine like terms: 5z + 6z = 11z 102 + 7c + 65z = -81 + 11z Solving 102 + 7c + 65z = -81 + 11z Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + 7c + -102 + 65z = -81 + -102 + 11z Reorder the terms: 102 + -102 + 7c + 65z = -81 + -102 + 11z Combine like terms: 102 + -102 = 0 0 + 7c + 65z = -81 + -102 + 11z 7c + 65z = -81 + -102 + 11z Combine like terms: -81 + -102 = -183 7c + 65z = -183 + 11z Add '-65z' to each side of the equation. 7c + 65z + -65z = -183 + 11z + -65z Combine like terms: 65z + -65z = 0 7c + 0 = -183 + 11z + -65z 7c = -183 + 11z + -65z Combine like terms: 11z + -65z = -54z 7c = -183 + -54z Divide each side by '7'. c = -26.14285714 + -7.714285714z Simplifying c = -26.14285714 + -7.714285714z
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