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Simplifying 6z + 3 + -1z = 7 + 4z + -5 Reorder the terms: 3 + 6z + -1z = 7 + 4z + -5 Combine like terms: 6z + -1z = 5z 3 + 5z = 7 + 4z + -5 Reorder the terms: 3 + 5z = 7 + -5 + 4z Combine like terms: 7 + -5 = 2 3 + 5z = 2 + 4z Solving 3 + 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. 3 + 5z + -4z = 2 + 4z + -4z Combine like terms: 5z + -4z = 1z 3 + 1z = 2 + 4z + -4z Combine like terms: 4z + -4z = 0 3 + 1z = 2 + 0 3 + 1z = 2 Add '-3' to each side of the equation. 3 + -3 + 1z = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 2 + -3 1z = 2 + -3 Combine like terms: 2 + -3 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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