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Simplifying z + (z + 1) + (z + 2) = z + z + 1 + z + 2 Reorder the terms: z + (1 + z) + (z + 2) = z + z + 1 + z + 2 Remove parenthesis around (1 + z) z + 1 + z + (z + 2) = z + z + 1 + z + 2 Reorder the terms: z + 1 + z + (2 + z) = z + z + 1 + z + 2 Remove parenthesis around (2 + z) z + 1 + z + 2 + z = z + z + 1 + z + 2 Reorder the terms: 1 + 2 + z + z + z = z + z + 1 + z + 2 Combine like terms: 1 + 2 = 3 3 + z + z + z = z + z + 1 + z + 2 Combine like terms: z + z = 2z 3 + 2z + z = z + z + 1 + z + 2 Combine like terms: 2z + z = 3z 3 + 3z = z + z + 1 + z + 2 Reorder the terms: 3 + 3z = 1 + 2 + z + z + z Combine like terms: 1 + 2 = 3 3 + 3z = 3 + z + z + z Combine like terms: z + z = 2z 3 + 3z = 3 + 2z + z Combine like terms: 2z + z = 3z 3 + 3z = 3 + 3z Add '-3' to each side of the equation. 3 + -3 + 3z = 3 + -3 + 3z Combine like terms: 3 + -3 = 0 0 + 3z = 3 + -3 + 3z 3z = 3 + -3 + 3z Combine like terms: 3 + -3 = 0 3z = 0 + 3z 3z = 3z Add '-3z' to each side of the equation. 3z + -3z = 3z + -3z Combine like terms: 3z + -3z = 0 0 = 3z + -3z Combine like terms: 3z + -3z = 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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