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Simplifying 4z + -9 = 9z + -34 Reorder the terms: -9 + 4z = 9z + -34 Reorder the terms: -9 + 4z = -34 + 9z Solving -9 + 4z = -34 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -9 + 4z + -9z = -34 + 9z + -9z Combine like terms: 4z + -9z = -5z -9 + -5z = -34 + 9z + -9z Combine like terms: 9z + -9z = 0 -9 + -5z = -34 + 0 -9 + -5z = -34 Add '9' to each side of the equation. -9 + 9 + -5z = -34 + 9 Combine like terms: -9 + 9 = 0 0 + -5z = -34 + 9 -5z = -34 + 9 Combine like terms: -34 + 9 = -25 -5z = -25 Divide each side by '-5'. z = 5 Simplifying z = 5
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