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Simplifying (3 + 2i) + (1 + 7i) = (4 + 9i) Remove parenthesis around (3 + 2i) 3 + 2i + (1 + 7i) = (4 + 9i) Remove parenthesis around (1 + 7i) 3 + 2i + 1 + 7i = (4 + 9i) Reorder the terms: 3 + 1 + 2i + 7i = (4 + 9i) Combine like terms: 3 + 1 = 4 4 + 2i + 7i = (4 + 9i) Combine like terms: 2i + 7i = 9i 4 + 9i = (4 + 9i) Remove parenthesis around (4 + 9i) 4 + 9i = 4 + 9i Add '-4' to each side of the equation. 4 + -4 + 9i = 4 + -4 + 9i Combine like terms: 4 + -4 = 0 0 + 9i = 4 + -4 + 9i 9i = 4 + -4 + 9i Combine like terms: 4 + -4 = 0 9i = 0 + 9i 9i = 9i Add '-9i' to each side of the equation. 9i + -9i = 9i + -9i Combine like terms: 9i + -9i = 0 0 = 9i + -9i Combine like terms: 9i + -9i = 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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