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Simplifying (2 + 5i) + -1(12 + 4i) = 0 Remove parenthesis around (2 + 5i) 2 + 5i + -1(12 + 4i) = 0 2 + 5i + (12 * -1 + 4i * -1) = 0 2 + 5i + (-12 + -4i) = 0 Reorder the terms: 2 + -12 + 5i + -4i = 0 Combine like terms: 2 + -12 = -10 -10 + 5i + -4i = 0 Combine like terms: 5i + -4i = 1i -10 + 1i = 0 Solving -10 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1i = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1i = 0 + 10 1i = 0 + 10 Combine like terms: 0 + 10 = 10 1i = 10 Divide each side by '1'. i = 10 Simplifying i = 10
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