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Simplifying 6z + 1 + -1z = 9 + 4z + -7 Reorder the terms: 1 + 6z + -1z = 9 + 4z + -7 Combine like terms: 6z + -1z = 5z 1 + 5z = 9 + 4z + -7 Reorder the terms: 1 + 5z = 9 + -7 + 4z Combine like terms: 9 + -7 = 2 1 + 5z = 2 + 4z Solving 1 + 5z = 2 + 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 = 2 + 4z + -4z Combine like terms: 5z + -4z = 1z 1 + 1z = 2 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + 1z = 2 + 0 1 + 1z = 2 Add '-1' to each side of the equation. 1 + -1 + 1z = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 2 + -1 1z = 2 + -1 Combine like terms: 2 + -1 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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