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Simplifying (2i + 4j) + (-5i + 6j) = 0 Remove parenthesis around (2i + 4j) 2i + 4j + (-5i + 6j) = 0 Remove parenthesis around (-5i + 6j) 2i + 4j + -5i + 6j = 0 Reorder the terms: 2i + -5i + 4j + 6j = 0 Combine like terms: 2i + -5i = -3i -3i + 4j + 6j = 0 Combine like terms: 4j + 6j = 10j -3i + 10j = 0 Solving -3i + 10j = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10j' to each side of the equation. -3i + 10j + -10j = 0 + -10j Combine like terms: 10j + -10j = 0 -3i + 0 = 0 + -10j -3i = 0 + -10j Remove the zero: -3i = -10j Divide each side by '-3'. i = 3.333333333j Simplifying i = 3.333333333j
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