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Simplifying 8 + 18z + -2 = 7z + 110 + -2z Reorder the terms: 8 + -2 + 18z = 7z + 110 + -2z Combine like terms: 8 + -2 = 6 6 + 18z = 7z + 110 + -2z Reorder the terms: 6 + 18z = 110 + 7z + -2z Combine like terms: 7z + -2z = 5z 6 + 18z = 110 + 5z Solving 6 + 18z = 110 + 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. 6 + 18z + -5z = 110 + 5z + -5z Combine like terms: 18z + -5z = 13z 6 + 13z = 110 + 5z + -5z Combine like terms: 5z + -5z = 0 6 + 13z = 110 + 0 6 + 13z = 110 Add '-6' to each side of the equation. 6 + -6 + 13z = 110 + -6 Combine like terms: 6 + -6 = 0 0 + 13z = 110 + -6 13z = 110 + -6 Combine like terms: 110 + -6 = 104 13z = 104 Divide each side by '13'. z = 8 Simplifying z = 8
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