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Simplifying -2(16 + -4j) = -4(-1j + -4) (16 * -2 + -4j * -2) = -4(-1j + -4) (-32 + 8j) = -4(-1j + -4) Reorder the terms: -32 + 8j = -4(-4 + -1j) -32 + 8j = (-4 * -4 + -1j * -4) -32 + 8j = (16 + 4j) Solving -32 + 8j = 16 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. -32 + 8j + -4j = 16 + 4j + -4j Combine like terms: 8j + -4j = 4j -32 + 4j = 16 + 4j + -4j Combine like terms: 4j + -4j = 0 -32 + 4j = 16 + 0 -32 + 4j = 16 Add '32' to each side of the equation. -32 + 32 + 4j = 16 + 32 Combine like terms: -32 + 32 = 0 0 + 4j = 16 + 32 4j = 16 + 32 Combine like terms: 16 + 32 = 48 4j = 48 Divide each side by '4'. j = 12 Simplifying j = 12
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