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Simplifying (1 + -5j) + (-2 + -6j) = -1 + -11j Remove parenthesis around (1 + -5j) 1 + -5j + (-2 + -6j) = -1 + -11j Remove parenthesis around (-2 + -6j) 1 + -5j + -2 + -6j = -1 + -11j Reorder the terms: 1 + -2 + -5j + -6j = -1 + -11j Combine like terms: 1 + -2 = -1 -1 + -5j + -6j = -1 + -11j Combine like terms: -5j + -6j = -11j -1 + -11j = -1 + -11j Add '1' to each side of the equation. -1 + 1 + -11j = -1 + 1 + -11j Combine like terms: -1 + 1 = 0 0 + -11j = -1 + 1 + -11j -11j = -1 + 1 + -11j Combine like terms: -1 + 1 = 0 -11j = 0 + -11j -11j = -11j Add '11j' to each side of the equation. -11j + 11j = -11j + 11j Combine like terms: -11j + 11j = 0 0 = -11j + 11j Combine like terms: -11j + 11j = 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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