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Simplifying 5(j + -4) = -8 + -1j Reorder the terms: 5(-4 + j) = -8 + -1j (-4 * 5 + j * 5) = -8 + -1j (-20 + 5j) = -8 + -1j Solving -20 + 5j = -8 + -1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add 'j' to each side of the equation. -20 + 5j + j = -8 + -1j + j Combine like terms: 5j + j = 6j -20 + 6j = -8 + -1j + j Combine like terms: -1j + j = 0 -20 + 6j = -8 + 0 -20 + 6j = -8 Add '20' to each side of the equation. -20 + 20 + 6j = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 6j = -8 + 20 6j = -8 + 20 Combine like terms: -8 + 20 = 12 6j = 12 Divide each side by '6'. j = 2 Simplifying j = 2
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