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Simplifying 8z + 3 + -5z = 35 + -5z Reorder the terms: 3 + 8z + -5z = 35 + -5z Combine like terms: 8z + -5z = 3z 3 + 3z = 35 + -5z Solving 3 + 3z = 35 + -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. 3 + 3z + 5z = 35 + -5z + 5z Combine like terms: 3z + 5z = 8z 3 + 8z = 35 + -5z + 5z Combine like terms: -5z + 5z = 0 3 + 8z = 35 + 0 3 + 8z = 35 Add '-3' to each side of the equation. 3 + -3 + 8z = 35 + -3 Combine like terms: 3 + -3 = 0 0 + 8z = 35 + -3 8z = 35 + -3 Combine like terms: 35 + -3 = 32 8z = 32 Divide each side by '8'. z = 4 Simplifying z = 4
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