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