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Simplifying 4(5 + 2j) + -5 = 3(3j + 7) (5 * 4 + 2j * 4) + -5 = 3(3j + 7) (20 + 8j) + -5 = 3(3j + 7) Reorder the terms: 20 + -5 + 8j = 3(3j + 7) Combine like terms: 20 + -5 = 15 15 + 8j = 3(3j + 7) Reorder the terms: 15 + 8j = 3(7 + 3j) 15 + 8j = (7 * 3 + 3j * 3) 15 + 8j = (21 + 9j) Solving 15 + 8j = 21 + 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. 15 + 8j + -9j = 21 + 9j + -9j Combine like terms: 8j + -9j = -1j 15 + -1j = 21 + 9j + -9j Combine like terms: 9j + -9j = 0 15 + -1j = 21 + 0 15 + -1j = 21 Add '-15' to each side of the equation. 15 + -15 + -1j = 21 + -15 Combine like terms: 15 + -15 = 0 0 + -1j = 21 + -15 -1j = 21 + -15 Combine like terms: 21 + -15 = 6 -1j = 6 Divide each side by '-1'. j = -6 Simplifying j = -6
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