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Simplifying (a + 6) + 2i = 6 + -5i Reorder the terms: (6 + a) + 2i = 6 + -5i Remove parenthesis around (6 + a) 6 + a + 2i = 6 + -5i Add '-6' to each side of the equation. 6 + a + -6 + 2i = 6 + -6 + -5i Reorder the terms: 6 + -6 + a + 2i = 6 + -6 + -5i Combine like terms: 6 + -6 = 0 0 + a + 2i = 6 + -6 + -5i a + 2i = 6 + -6 + -5i Combine like terms: 6 + -6 = 0 a + 2i = 0 + -5i a + 2i = -5i Solving a + 2i = -5i Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2i' to each side of the equation. a + 2i + -2i = -5i + -2i Combine like terms: 2i + -2i = 0 a + 0 = -5i + -2i a = -5i + -2i Combine like terms: -5i + -2i = -7i a = -7i Simplifying a = -7i
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