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Simplifying 9 + 2z + -4 = 8z + -5z Reorder the terms: 9 + -4 + 2z = 8z + -5z Combine like terms: 9 + -4 = 5 5 + 2z = 8z + -5z Combine like terms: 8z + -5z = 3z 5 + 2z = 3z Solving 5 + 2z = 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 + 2z + -3z = 3z + -3z Combine like terms: 2z + -3z = -1z 5 + -1z = 3z + -3z Combine like terms: 3z + -3z = 0 5 + -1z = 0 Add '-5' to each side of the equation. 5 + -5 + -1z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = 0 + -5 -1z = 0 + -5 Combine like terms: 0 + -5 = -5 -1z = -5 Divide each side by '-1'. z = 5 Simplifying z = 5
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