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Simplifying 3(5j + 2) = 2(-2 + 6) Reorder the terms: 3(2 + 5j) = 2(-2 + 6) (2 * 3 + 5j * 3) = 2(-2 + 6) (6 + 15j) = 2(-2 + 6) Combine like terms: -2 + 6 = 4 6 + 15j = 2(4) Multiply 2 * 4 6 + 15j = 8 Solving 6 + 15j = 8 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 15j = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 15j = 8 + -6 15j = 8 + -6 Combine like terms: 8 + -6 = 2 15j = 2 Divide each side by '15'. j = 0.1333333333 Simplifying j = 0.1333333333
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