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