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Simplifying 4(2j + 5) = 15 + 7j Reorder the terms: 4(5 + 2j) = 15 + 7j (5 * 4 + 2j * 4) = 15 + 7j (20 + 8j) = 15 + 7j Solving 20 + 8j = 15 + 7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7j' to each side of the equation. 20 + 8j + -7j = 15 + 7j + -7j Combine like terms: 8j + -7j = 1j 20 + 1j = 15 + 7j + -7j Combine like terms: 7j + -7j = 0 20 + 1j = 15 + 0 20 + 1j = 15 Add '-20' to each side of the equation. 20 + -20 + 1j = 15 + -20 Combine like terms: 20 + -20 = 0 0 + 1j = 15 + -20 1j = 15 + -20 Combine like terms: 15 + -20 = -5 1j = -5 Divide each side by '1'. j = -5 Simplifying j = -5
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