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Simplifying 3 + 13z + -2 = 9z + 89 + -7z Reorder the terms: 3 + -2 + 13z = 9z + 89 + -7z Combine like terms: 3 + -2 = 1 1 + 13z = 9z + 89 + -7z Reorder the terms: 1 + 13z = 89 + 9z + -7z Combine like terms: 9z + -7z = 2z 1 + 13z = 89 + 2z Solving 1 + 13z = 89 + 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 + 13z + -2z = 89 + 2z + -2z Combine like terms: 13z + -2z = 11z 1 + 11z = 89 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 11z = 89 + 0 1 + 11z = 89 Add '-1' to each side of the equation. 1 + -1 + 11z = 89 + -1 Combine like terms: 1 + -1 = 0 0 + 11z = 89 + -1 11z = 89 + -1 Combine like terms: 89 + -1 = 88 11z = 88 Divide each side by '11'. z = 8 Simplifying z = 8
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