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Simplifying 7 + 18z + -6 = 7z + 27 + -2z Reorder the terms: 7 + -6 + 18z = 7z + 27 + -2z Combine like terms: 7 + -6 = 1 1 + 18z = 7z + 27 + -2z Reorder the terms: 1 + 18z = 27 + 7z + -2z Combine like terms: 7z + -2z = 5z 1 + 18z = 27 + 5z Solving 1 + 18z = 27 + 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. 1 + 18z + -5z = 27 + 5z + -5z Combine like terms: 18z + -5z = 13z 1 + 13z = 27 + 5z + -5z Combine like terms: 5z + -5z = 0 1 + 13z = 27 + 0 1 + 13z = 27 Add '-1' to each side of the equation. 1 + -1 + 13z = 27 + -1 Combine like terms: 1 + -1 = 0 0 + 13z = 27 + -1 13z = 27 + -1 Combine like terms: 27 + -1 = 26 13z = 26 Divide each side by '13'. z = 2 Simplifying z = 2
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