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Simplifying 2z + 2 = (z + 1) + (z + 1) Reorder the terms: 2 + 2z = (z + 1) + (z + 1) Reorder the terms: 2 + 2z = (1 + z) + (z + 1) Remove parenthesis around (1 + z) 2 + 2z = 1 + z + (z + 1) Reorder the terms: 2 + 2z = 1 + z + (1 + z) Remove parenthesis around (1 + z) 2 + 2z = 1 + z + 1 + z Reorder the terms: 2 + 2z = 1 + 1 + z + z Combine like terms: 1 + 1 = 2 2 + 2z = 2 + z + z Combine like terms: z + z = 2z 2 + 2z = 2 + 2z Add '-2' to each side of the equation. 2 + -2 + 2z = 2 + -2 + 2z Combine like terms: 2 + -2 = 0 0 + 2z = 2 + -2 + 2z 2z = 2 + -2 + 2z Combine like terms: 2 + -2 = 0 2z = 0 + 2z 2z = 2z Add '-2z' to each side of the equation. 2z + -2z = 2z + -2z Combine like terms: 2z + -2z = 0 0 = 2z + -2z Combine like terms: 2z + -2z = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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