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Simplifying 3 + 15z + -2 = 9z + 92 + -7z Reorder the terms: 3 + -2 + 15z = 9z + 92 + -7z Combine like terms: 3 + -2 = 1 1 + 15z = 9z + 92 + -7z Reorder the terms: 1 + 15z = 92 + 9z + -7z Combine like terms: 9z + -7z = 2z 1 + 15z = 92 + 2z Solving 1 + 15z = 92 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 1 + 15z + -2z = 92 + 2z + -2z Combine like terms: 15z + -2z = 13z 1 + 13z = 92 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 13z = 92 + 0 1 + 13z = 92 Add '-1' to each side of the equation. 1 + -1 + 13z = 92 + -1 Combine like terms: 1 + -1 = 0 0 + 13z = 92 + -1 13z = 92 + -1 Combine like terms: 92 + -1 = 91 13z = 91 Divide each side by '13'. z = 7 Simplifying z = 7
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