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Simplifying 2z + 1 = 3z + 1 Reorder the terms: 1 + 2z = 3z + 1 Reorder the terms: 1 + 2z = 1 + 3z Add '-1' to each side of the equation. 1 + -1 + 2z = 1 + -1 + 3z Combine like terms: 1 + -1 = 0 0 + 2z = 1 + -1 + 3z 2z = 1 + -1 + 3z Combine like terms: 1 + -1 = 0 2z = 0 + 3z 2z = 3z Solving 2z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 2z + -3z = 3z + -3z Combine like terms: 2z + -3z = -1z -1z = 3z + -3z Combine like terms: 3z + -3z = 0 -1z = 0 Divide each side by '-1'. z = 0 Simplifying z = 0
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