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Simplifying (4 + -3i) + (9 + 2i) = 13 + -1i Remove parenthesis around (4 + -3i) 4 + -3i + (9 + 2i) = 13 + -1i Remove parenthesis around (9 + 2i) 4 + -3i + 9 + 2i = 13 + -1i Reorder the terms: 4 + 9 + -3i + 2i = 13 + -1i Combine like terms: 4 + 9 = 13 13 + -3i + 2i = 13 + -1i Combine like terms: -3i + 2i = -1i 13 + -1i = 13 + -1i Add '-13' to each side of the equation. 13 + -13 + -1i = 13 + -13 + -1i Combine like terms: 13 + -13 = 0 0 + -1i = 13 + -13 + -1i -1i = 13 + -13 + -1i Combine like terms: 13 + -13 = 0 -1i = 0 + -1i -1i = -1i Add 'i' to each side of the equation. -1i + i = -1i + i Combine like terms: -1i + i = 0 0 = -1i + i Combine like terms: -1i + i = 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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