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Simplifying -1(-10j + 4) = 4(4 + 5j) Reorder the terms: -1(4 + -10j) = 4(4 + 5j) (4 * -1 + -10j * -1) = 4(4 + 5j) (-4 + 10j) = 4(4 + 5j) -4 + 10j = (4 * 4 + 5j * 4) -4 + 10j = (16 + 20j) Solving -4 + 10j = 16 + 20j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-20j' to each side of the equation. -4 + 10j + -20j = 16 + 20j + -20j Combine like terms: 10j + -20j = -10j -4 + -10j = 16 + 20j + -20j Combine like terms: 20j + -20j = 0 -4 + -10j = 16 + 0 -4 + -10j = 16 Add '4' to each side of the equation. -4 + 4 + -10j = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -10j = 16 + 4 -10j = 16 + 4 Combine like terms: 16 + 4 = 20 -10j = 20 Divide each side by '-10'. j = -2 Simplifying j = -2
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