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Simplifying 10 + 15i + -48 + -30i = 0 Reorder the terms: 10 + -48 + 15i + -30i = 0 Combine like terms: 10 + -48 = -38 -38 + 15i + -30i = 0 Combine like terms: 15i + -30i = -15i -38 + -15i = 0 Solving -38 + -15i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -15i = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -15i = 0 + 38 -15i = 0 + 38 Combine like terms: 0 + 38 = 38 -15i = 38 Divide each side by '-15'. i = -2.533333333 Simplifying i = -2.533333333
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