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Simplifying 8z + 3 + -4z = 43 + -4z Reorder the terms: 3 + 8z + -4z = 43 + -4z Combine like terms: 8z + -4z = 4z 3 + 4z = 43 + -4z Solving 3 + 4z = 43 + -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. 3 + 4z + 4z = 43 + -4z + 4z Combine like terms: 4z + 4z = 8z 3 + 8z = 43 + -4z + 4z Combine like terms: -4z + 4z = 0 3 + 8z = 43 + 0 3 + 8z = 43 Add '-3' to each side of the equation. 3 + -3 + 8z = 43 + -3 Combine like terms: 3 + -3 = 0 0 + 8z = 43 + -3 8z = 43 + -3 Combine like terms: 43 + -3 = 40 8z = 40 Divide each side by '8'. z = 5 Simplifying z = 5
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