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Simplifying 7 + 18z + -3 = 7z + 82 + -2z Reorder the terms: 7 + -3 + 18z = 7z + 82 + -2z Combine like terms: 7 + -3 = 4 4 + 18z = 7z + 82 + -2z Reorder the terms: 4 + 18z = 82 + 7z + -2z Combine like terms: 7z + -2z = 5z 4 + 18z = 82 + 5z Solving 4 + 18z = 82 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 4 + 18z + -5z = 82 + 5z + -5z Combine like terms: 18z + -5z = 13z 4 + 13z = 82 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + 13z = 82 + 0 4 + 13z = 82 Add '-4' to each side of the equation. 4 + -4 + 13z = 82 + -4 Combine like terms: 4 + -4 = 0 0 + 13z = 82 + -4 13z = 82 + -4 Combine like terms: 82 + -4 = 78 13z = 78 Divide each side by '13'. z = 6 Simplifying z = 6
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