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Simplifying (16 + 11i) + -1(12 + 12i) = 0 Remove parenthesis around (16 + 11i) 16 + 11i + -1(12 + 12i) = 0 16 + 11i + (12 * -1 + 12i * -1) = 0 16 + 11i + (-12 + -12i) = 0 Reorder the terms: 16 + -12 + 11i + -12i = 0 Combine like terms: 16 + -12 = 4 4 + 11i + -12i = 0 Combine like terms: 11i + -12i = -1i 4 + -1i = 0 Solving 4 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1i = 0 + -4 -1i = 0 + -4 Combine like terms: 0 + -4 = -4 -1i = -4 Divide each side by '-1'. i = 4 Simplifying i = 4
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