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Simplifying (9 + -7i) + (6 + 9i) = 15 + 2i Remove parenthesis around (9 + -7i) 9 + -7i + (6 + 9i) = 15 + 2i Remove parenthesis around (6 + 9i) 9 + -7i + 6 + 9i = 15 + 2i Reorder the terms: 9 + 6 + -7i + 9i = 15 + 2i Combine like terms: 9 + 6 = 15 15 + -7i + 9i = 15 + 2i Combine like terms: -7i + 9i = 2i 15 + 2i = 15 + 2i Add '-15' to each side of the equation. 15 + -15 + 2i = 15 + -15 + 2i Combine like terms: 15 + -15 = 0 0 + 2i = 15 + -15 + 2i 2i = 15 + -15 + 2i Combine like terms: 15 + -15 = 0 2i = 0 + 2i 2i = 2i Add '-2i' to each side of the equation. 2i + -2i = 2i + -2i Combine like terms: 2i + -2i = 0 0 = 2i + -2i Combine like terms: 2i + -2i = 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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