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Simplifying 3 + 2i + 3a = 3 Reorder the terms: 3 + 3a + 2i = 3 Add '-3' to each side of the equation. 3 + 3a + -3 + 2i = 3 + -3 Reorder the terms: 3 + -3 + 3a + 2i = 3 + -3 Combine like terms: 3 + -3 = 0 0 + 3a + 2i = 3 + -3 3a + 2i = 3 + -3 Combine like terms: 3 + -3 = 0 3a + 2i = 0 Solving 3a + 2i = 0 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. 3a + 2i + -2i = 0 + -2i Combine like terms: 2i + -2i = 0 3a + 0 = 0 + -2i 3a = 0 + -2i Remove the zero: 3a = -2i Divide each side by '3'. a = -0.6666666667i Simplifying a = -0.6666666667i
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