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Simplifying 5(2j + 1) = 3(3j + -1) Reorder the terms: 5(1 + 2j) = 3(3j + -1) (1 * 5 + 2j * 5) = 3(3j + -1) (5 + 10j) = 3(3j + -1) Reorder the terms: 5 + 10j = 3(-1 + 3j) 5 + 10j = (-1 * 3 + 3j * 3) 5 + 10j = (-3 + 9j) Solving 5 + 10j = -3 + 9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9j' to each side of the equation. 5 + 10j + -9j = -3 + 9j + -9j Combine like terms: 10j + -9j = 1j 5 + 1j = -3 + 9j + -9j Combine like terms: 9j + -9j = 0 5 + 1j = -3 + 0 5 + 1j = -3 Add '-5' to each side of the equation. 5 + -5 + 1j = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 1j = -3 + -5 1j = -3 + -5 Combine like terms: -3 + -5 = -8 1j = -8 Divide each side by '1'. j = -8 Simplifying j = -8
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