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Simplifying 8z + 5 + -4z = 69 + -4z Reorder the terms: 5 + 8z + -4z = 69 + -4z Combine like terms: 8z + -4z = 4z 5 + 4z = 69 + -4z Solving 5 + 4z = 69 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 5 + 4z + 4z = 69 + -4z + 4z Combine like terms: 4z + 4z = 8z 5 + 8z = 69 + -4z + 4z Combine like terms: -4z + 4z = 0 5 + 8z = 69 + 0 5 + 8z = 69 Add '-5' to each side of the equation. 5 + -5 + 8z = 69 + -5 Combine like terms: 5 + -5 = 0 0 + 8z = 69 + -5 8z = 69 + -5 Combine like terms: 69 + -5 = 64 8z = 64 Divide each side by '8'. z = 8 Simplifying z = 8
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