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Simplifying (-12i) + -1(3 + 3i) = 0 (-12i) + (3 * -1 + 3i * -1) = 0 (-12i) + (-3 + -3i) = 0 Reorder the terms: -3 + (-12i) + -3i = 0 Combine like terms: (-12i) + -3i = -15i -3 + -15i = 0 Solving -3 + -15i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -15i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -15i = 0 + 3 -15i = 0 + 3 Combine like terms: 0 + 3 = 3 -15i = 3 Divide each side by '-15'. i = -0.2 Simplifying i = -0.2
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