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Simplifying 3a + (b + -4) * i = 5 Reorder the terms: 3a + (-4 + b) * i = 5 Reorder the terms for easier multiplication: 3a + i(-4 + b) = 5 3a + (-4 * i + b * i) = 5 Reorder the terms: 3a + (bi + -4i) = 5 3a + (bi + -4i) = 5 Solving 3a + bi + -4i = 5 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 + -4i = 5 + -1bi Combine like terms: bi + -1bi = 0 3a + 0 + -4i = 5 + -1bi 3a + -4i = 5 + -1bi Add '4i' to each side of the equation. 3a + -4i + 4i = 5 + -1bi + 4i Combine like terms: -4i + 4i = 0 3a + 0 = 5 + -1bi + 4i 3a = 5 + -1bi + 4i Divide each side by '3'. a = 1.666666667 + -0.3333333333bi + 1.333333333i Simplifying a = 1.666666667 + -0.3333333333bi + 1.333333333i
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