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Simplifying 6z + 4 + -4z = 3 + z + -2 Reorder the terms: 4 + 6z + -4z = 3 + z + -2 Combine like terms: 6z + -4z = 2z 4 + 2z = 3 + z + -2 Reorder the terms: 4 + 2z = 3 + -2 + z Combine like terms: 3 + -2 = 1 4 + 2z = 1 + z Solving 4 + 2z = 1 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 4 + 2z + -1z = 1 + z + -1z Combine like terms: 2z + -1z = 1z 4 + 1z = 1 + z + -1z Combine like terms: z + -1z = 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 = -3 1z = -3 Divide each side by '1'. z = -3 Simplifying z = -3
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