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Simplifying 4(3i + -6) + 3i + -7 = 0 Reorder the terms: 4(-6 + 3i) + 3i + -7 = 0 (-6 * 4 + 3i * 4) + 3i + -7 = 0 (-24 + 12i) + 3i + -7 = 0 Reorder the terms: -24 + -7 + 12i + 3i = 0 Combine like terms: -24 + -7 = -31 -31 + 12i + 3i = 0 Combine like terms: 12i + 3i = 15i -31 + 15i = 0 Solving -31 + 15i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 15i = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 15i = 0 + 31 15i = 0 + 31 Combine like terms: 0 + 31 = 31 15i = 31 Divide each side by '15'. i = 2.066666667 Simplifying i = 2.066666667
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