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Simplifying -4z + -5 = 30 + -9z Reorder the terms: -5 + -4z = 30 + -9z Solving -5 + -4z = 30 + -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. -5 + -4z + 9z = 30 + -9z + 9z Combine like terms: -4z + 9z = 5z -5 + 5z = 30 + -9z + 9z Combine like terms: -9z + 9z = 0 -5 + 5z = 30 + 0 -5 + 5z = 30 Add '5' to each side of the equation. -5 + 5 + 5z = 30 + 5 Combine like terms: -5 + 5 = 0 0 + 5z = 30 + 5 5z = 30 + 5 Combine like terms: 30 + 5 = 35 5z = 35 Divide each side by '5'. z = 7 Simplifying z = 7
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