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