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Simplifying 8 + 4z + -5 = 9z + 9 + -6z Reorder the terms: 8 + -5 + 4z = 9z + 9 + -6z Combine like terms: 8 + -5 = 3 3 + 4z = 9z + 9 + -6z Reorder the terms: 3 + 4z = 9 + 9z + -6z Combine like terms: 9z + -6z = 3z 3 + 4z = 9 + 3z Solving 3 + 4z = 9 + 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. 3 + 4z + -3z = 9 + 3z + -3z Combine like terms: 4z + -3z = 1z 3 + 1z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + 1z = 9 + 0 3 + 1z = 9 Add '-3' to each side of the equation. 3 + -3 + 1z = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 9 + -3 1z = 9 + -3 Combine like terms: 9 + -3 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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