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