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