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Simplifying 8z + 9 + -4z = 4 + 3z + 9 Reorder the terms: 9 + 8z + -4z = 4 + 3z + 9 Combine like terms: 8z + -4z = 4z 9 + 4z = 4 + 3z + 9 Reorder the terms: 9 + 4z = 4 + 9 + 3z Combine like terms: 4 + 9 = 13 9 + 4z = 13 + 3z Solving 9 + 4z = 13 + 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. 9 + 4z + -3z = 13 + 3z + -3z Combine like terms: 4z + -3z = 1z 9 + 1z = 13 + 3z + -3z Combine like terms: 3z + -3z = 0 9 + 1z = 13 + 0 9 + 1z = 13 Add '-9' to each side of the equation. 9 + -9 + 1z = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 13 + -9 1z = 13 + -9 Combine like terms: 13 + -9 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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