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