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Simplifying -4z + 9z + 1 + -6 = 30 Reorder the terms: 1 + -6 + -4z + 9z = 30 Combine like terms: 1 + -6 = -5 -5 + -4z + 9z = 30 Combine like terms: -4z + 9z = 5z -5 + 5z = 30 Solving -5 + 5z = 30 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. 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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