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Simplifying (2 + -7j) + (3 + 8j) + (-5 + -2j) = (2 + -7j) + (3 + 8j) + (-5 + -2j) Remove parenthesis around (2 + -7j) 2 + -7j + (3 + 8j) + (-5 + -2j) = (2 + -7j) + (3 + 8j) + (-5 + -2j) Remove parenthesis around (3 + 8j) 2 + -7j + 3 + 8j + (-5 + -2j) = (2 + -7j) + (3 + 8j) + (-5 + -2j) Remove parenthesis around (-5 + -2j) 2 + -7j + 3 + 8j + -5 + -2j = (2 + -7j) + (3 + 8j) + (-5 + -2j) Reorder the terms: 2 + 3 + -5 + -7j + 8j + -2j = (2 + -7j) + (3 + 8j) + (-5 + -2j) Combine like terms: 2 + 3 = 5 5 + -5 + -7j + 8j + -2j = (2 + -7j) + (3 + 8j) + (-5 + -2j) Combine like terms: 5 + -5 = 0 0 + -7j + 8j + -2j = (2 + -7j) + (3 + 8j) + (-5 + -2j) -7j + 8j + -2j = (2 + -7j) + (3 + 8j) + (-5 + -2j) Combine like terms: -7j + 8j = 1j 1j + -2j = (2 + -7j) + (3 + 8j) + (-5 + -2j) Combine like terms: 1j + -2j = -1j -1j = (2 + -7j) + (3 + 8j) + (-5 + -2j) Remove parenthesis around (2 + -7j) -1j = 2 + -7j + (3 + 8j) + (-5 + -2j) Remove parenthesis around (3 + 8j) -1j = 2 + -7j + 3 + 8j + (-5 + -2j) Remove parenthesis around (-5 + -2j) -1j = 2 + -7j + 3 + 8j + -5 + -2j Reorder the terms: -1j = 2 + 3 + -5 + -7j + 8j + -2j Combine like terms: 2 + 3 = 5 -1j = 5 + -5 + -7j + 8j + -2j Combine like terms: 5 + -5 = 0 -1j = 0 + -7j + 8j + -2j -1j = -7j + 8j + -2j Combine like terms: -7j + 8j = 1j -1j = 1j + -2j Combine like terms: 1j + -2j = -1j -1j = -1j Add 'j' to each side of the equation. -1j + j = -1j + j Combine like terms: -1j + j = 0 0 = -1j + j Combine like terms: -1j + j = 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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