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Simplifying (3 + -1i) + (5 + -2i) = 8 + -3i Remove parenthesis around (3 + -1i) 3 + -1i + (5 + -2i) = 8 + -3i Remove parenthesis around (5 + -2i) 3 + -1i + 5 + -2i = 8 + -3i Reorder the terms: 3 + 5 + -1i + -2i = 8 + -3i Combine like terms: 3 + 5 = 8 8 + -1i + -2i = 8 + -3i Combine like terms: -1i + -2i = -3i 8 + -3i = 8 + -3i Add '-8' to each side of the equation. 8 + -8 + -3i = 8 + -8 + -3i Combine like terms: 8 + -8 = 0 0 + -3i = 8 + -8 + -3i -3i = 8 + -8 + -3i Combine like terms: 8 + -8 = 0 -3i = 0 + -3i -3i = -3i Add '3i' to each side of the equation. -3i + 3i = -3i + 3i Combine like terms: -3i + 3i = 0 0 = -3i + 3i Combine like terms: -3i + 3i = 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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