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Simplifying 8 + 13z + -4 = 8z + 92 + -6z Reorder the terms: 8 + -4 + 13z = 8z + 92 + -6z Combine like terms: 8 + -4 = 4 4 + 13z = 8z + 92 + -6z Reorder the terms: 4 + 13z = 92 + 8z + -6z Combine like terms: 8z + -6z = 2z 4 + 13z = 92 + 2z Solving 4 + 13z = 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. 4 + 13z + -2z = 92 + 2z + -2z Combine like terms: 13z + -2z = 11z 4 + 11z = 92 + 2z + -2z Combine like terms: 2z + -2z = 0 4 + 11z = 92 + 0 4 + 11z = 92 Add '-4' to each side of the equation. 4 + -4 + 11z = 92 + -4 Combine like terms: 4 + -4 = 0 0 + 11z = 92 + -4 11z = 92 + -4 Combine like terms: 92 + -4 = 88 11z = 88 Divide each side by '11'. z = 8 Simplifying z = 8
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