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Simplifying 8z + 4 + -3z = 44 + -3z Reorder the terms: 4 + 8z + -3z = 44 + -3z Combine like terms: 8z + -3z = 5z 4 + 5z = 44 + -3z Solving 4 + 5z = 44 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 4 + 5z + 3z = 44 + -3z + 3z Combine like terms: 5z + 3z = 8z 4 + 8z = 44 + -3z + 3z Combine like terms: -3z + 3z = 0 4 + 8z = 44 + 0 4 + 8z = 44 Add '-4' to each side of the equation. 4 + -4 + 8z = 44 + -4 Combine like terms: 4 + -4 = 0 0 + 8z = 44 + -4 8z = 44 + -4 Combine like terms: 44 + -4 = 40 8z = 40 Divide each side by '8'. z = 5 Simplifying z = 5
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