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Simplifying 9z + 6 + -3z = 1 + 5z + 4 Reorder the terms: 6 + 9z + -3z = 1 + 5z + 4 Combine like terms: 9z + -3z = 6z 6 + 6z = 1 + 5z + 4 Reorder the terms: 6 + 6z = 1 + 4 + 5z Combine like terms: 1 + 4 = 5 6 + 6z = 5 + 5z Solving 6 + 6z = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 6 + 6z + -5z = 5 + 5z + -5z Combine like terms: 6z + -5z = 1z 6 + 1z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 6 + 1z = 5 + 0 6 + 1z = 5 Add '-6' to each side of the equation. 6 + -6 + 1z = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = 5 + -6 1z = 5 + -6 Combine like terms: 5 + -6 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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