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Simplifying 8z + 4 + -5z = 52 + -5z Reorder the terms: 4 + 8z + -5z = 52 + -5z Combine like terms: 8z + -5z = 3z 4 + 3z = 52 + -5z Solving 4 + 3z = 52 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 4 + 3z + 5z = 52 + -5z + 5z Combine like terms: 3z + 5z = 8z 4 + 8z = 52 + -5z + 5z Combine like terms: -5z + 5z = 0 4 + 8z = 52 + 0 4 + 8z = 52 Add '-4' to each side of the equation. 4 + -4 + 8z = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 8z = 52 + -4 8z = 52 + -4 Combine like terms: 52 + -4 = 48 8z = 48 Divide each side by '8'. z = 6 Simplifying z = 6
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