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Simplifying 8z + 4 + -6z = 36 + -6z Reorder the terms: 4 + 8z + -6z = 36 + -6z Combine like terms: 8z + -6z = 2z 4 + 2z = 36 + -6z Solving 4 + 2z = 36 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 4 + 2z + 6z = 36 + -6z + 6z Combine like terms: 2z + 6z = 8z 4 + 8z = 36 + -6z + 6z Combine like terms: -6z + 6z = 0 4 + 8z = 36 + 0 4 + 8z = 36 Add '-4' to each side of the equation. 4 + -4 + 8z = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 8z = 36 + -4 8z = 36 + -4 Combine like terms: 36 + -4 = 32 8z = 32 Divide each side by '8'. z = 4 Simplifying z = 4
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