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Simplifying 3(2j + 3) + -2(j + 2) = 0 Reorder the terms: 3(3 + 2j) + -2(j + 2) = 0 (3 * 3 + 2j * 3) + -2(j + 2) = 0 (9 + 6j) + -2(j + 2) = 0 Reorder the terms: 9 + 6j + -2(2 + j) = 0 9 + 6j + (2 * -2 + j * -2) = 0 9 + 6j + (-4 + -2j) = 0 Reorder the terms: 9 + -4 + 6j + -2j = 0 Combine like terms: 9 + -4 = 5 5 + 6j + -2j = 0 Combine like terms: 6j + -2j = 4j 5 + 4j = 0 Solving 5 + 4j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4j = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4j = 0 + -5 4j = 0 + -5 Combine like terms: 0 + -5 = -5 4j = -5 Divide each side by '4'. j = -1.25 Simplifying j = -1.25
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