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Simplifying 9z + 5 + -5z = 6 + 3z + 9 Reorder the terms: 5 + 9z + -5z = 6 + 3z + 9 Combine like terms: 9z + -5z = 4z 5 + 4z = 6 + 3z + 9 Reorder the terms: 5 + 4z = 6 + 9 + 3z Combine like terms: 6 + 9 = 15 5 + 4z = 15 + 3z Solving 5 + 4z = 15 + 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. 5 + 4z + -3z = 15 + 3z + -3z Combine like terms: 4z + -3z = 1z 5 + 1z = 15 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + 1z = 15 + 0 5 + 1z = 15 Add '-5' to each side of the equation. 5 + -5 + 1z = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 15 + -5 1z = 15 + -5 Combine like terms: 15 + -5 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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