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Simplifying 4z + 9 = 5z + -2z Reorder the terms: 9 + 4z = 5z + -2z Combine like terms: 5z + -2z = 3z 9 + 4z = 3z Solving 9 + 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. 9 + 4z + -3z = 3z + -3z Combine like terms: 4z + -3z = 1z 9 + 1z = 3z + -3z Combine like terms: 3z + -3z = 0 9 + 1z = 0 Add '-9' to each side of the equation. 9 + -9 + 1z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 0 + -9 1z = 0 + -9 Combine like terms: 0 + -9 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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