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Simplifying 9z + 1 + -4z = 2 + 4z + -8 Reorder the terms: 1 + 9z + -4z = 2 + 4z + -8 Combine like terms: 9z + -4z = 5z 1 + 5z = 2 + 4z + -8 Reorder the terms: 1 + 5z = 2 + -8 + 4z Combine like terms: 2 + -8 = -6 1 + 5z = -6 + 4z Solving 1 + 5z = -6 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 1 + 5z + -4z = -6 + 4z + -4z Combine like terms: 5z + -4z = 1z 1 + 1z = -6 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + 1z = -6 + 0 1 + 1z = -6 Add '-1' to each side of the equation. 1 + -1 + 1z = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = -6 + -1 1z = -6 + -1 Combine like terms: -6 + -1 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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