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Simplifying 3a + (b + 3) * i = 9 Reorder the terms: 3a + (3 + b) * i = 9 Reorder the terms for easier multiplication: 3a + i(3 + b) = 9 3a + (3 * i + b * i) = 9 Reorder the terms: 3a + (bi + 3i) = 9 3a + (bi + 3i) = 9 Solving 3a + bi + 3i = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bi' to each side of the equation. 3a + bi + -1bi + 3i = 9 + -1bi Combine like terms: bi + -1bi = 0 3a + 0 + 3i = 9 + -1bi 3a + 3i = 9 + -1bi Add '-3i' to each side of the equation. 3a + 3i + -3i = 9 + -1bi + -3i Combine like terms: 3i + -3i = 0 3a + 0 = 9 + -1bi + -3i 3a = 9 + -1bi + -3i Divide each side by '3'. a = 3 + -0.3333333333bi + -1i Simplifying a = 3 + -0.3333333333bi + -1i
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