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Simplifying (2i + 9j) + (7i + -3j) = 0 Remove parenthesis around (2i + 9j) 2i + 9j + (7i + -3j) = 0 Remove parenthesis around (7i + -3j) 2i + 9j + 7i + -3j = 0 Reorder the terms: 2i + 7i + 9j + -3j = 0 Combine like terms: 2i + 7i = 9i 9i + 9j + -3j = 0 Combine like terms: 9j + -3j = 6j 9i + 6j = 0 Solving 9i + 6j = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6j' to each side of the equation. 9i + 6j + -6j = 0 + -6j Combine like terms: 6j + -6j = 0 9i + 0 = 0 + -6j 9i = 0 + -6j Remove the zero: 9i = -6j Divide each side by '9'. i = -0.6666666667j Simplifying i = -0.6666666667j
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