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Simplifying 5(j + -4) = 4 + -3j Reorder the terms: 5(-4 + j) = 4 + -3j (-4 * 5 + j * 5) = 4 + -3j (-20 + 5j) = 4 + -3j Solving -20 + 5j = 4 + -3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '3j' to each side of the equation. -20 + 5j + 3j = 4 + -3j + 3j Combine like terms: 5j + 3j = 8j -20 + 8j = 4 + -3j + 3j Combine like terms: -3j + 3j = 0 -20 + 8j = 4 + 0 -20 + 8j = 4 Add '20' to each side of the equation. -20 + 20 + 8j = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 8j = 4 + 20 8j = 4 + 20 Combine like terms: 4 + 20 = 24 8j = 24 Divide each side by '8'. j = 3 Simplifying j = 3
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