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Simplifying 3a + (4b + 2i) = 9 + -6i Remove parenthesis around (4b + 2i) 3a + 4b + 2i = 9 + -6i Solving 3a + 4b + 2i = 9 + -6i Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 3a + 4b + -4b + 2i = 9 + -4b + -6i Combine like terms: 4b + -4b = 0 3a + 0 + 2i = 9 + -4b + -6i 3a + 2i = 9 + -4b + -6i Add '-2i' to each side of the equation. 3a + 2i + -2i = 9 + -4b + -6i + -2i Combine like terms: 2i + -2i = 0 3a + 0 = 9 + -4b + -6i + -2i 3a = 9 + -4b + -6i + -2i Combine like terms: -6i + -2i = -8i 3a = 9 + -4b + -8i Divide each side by '3'. a = 3 + -1.333333333b + -2.666666667i Simplifying a = 3 + -1.333333333b + -2.666666667i
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