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Simplifying 9z + 8 + -4z = 1 + 4z + 6 Reorder the terms: 8 + 9z + -4z = 1 + 4z + 6 Combine like terms: 9z + -4z = 5z 8 + 5z = 1 + 4z + 6 Reorder the terms: 8 + 5z = 1 + 6 + 4z Combine like terms: 1 + 6 = 7 8 + 5z = 7 + 4z Solving 8 + 5z = 7 + 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. 8 + 5z + -4z = 7 + 4z + -4z Combine like terms: 5z + -4z = 1z 8 + 1z = 7 + 4z + -4z Combine like terms: 4z + -4z = 0 8 + 1z = 7 + 0 8 + 1z = 7 Add '-8' to each side of the equation. 8 + -8 + 1z = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 7 + -8 1z = 7 + -8 Combine like terms: 7 + -8 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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