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Simplifying (-2 + -3i) + 4(-2 + -3i) + 13 = 0 Remove parenthesis around (-2 + -3i) -2 + -3i + 4(-2 + -3i) + 13 = 0 -2 + -3i + (-2 * 4 + -3i * 4) + 13 = 0 -2 + -3i + (-8 + -12i) + 13 = 0 Reorder the terms: -2 + -8 + 13 + -3i + -12i = 0 Combine like terms: -2 + -8 = -10 -10 + 13 + -3i + -12i = 0 Combine like terms: -10 + 13 = 3 3 + -3i + -12i = 0 Combine like terms: -3i + -12i = -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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