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Simplifying 9(-4 + 2j) = 20j + 6 (-4 * 9 + 2j * 9) = 20j + 6 (-36 + 18j) = 20j + 6 Reorder the terms: -36 + 18j = 6 + 20j Solving -36 + 18j = 6 + 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. -36 + 18j + -20j = 6 + 20j + -20j Combine like terms: 18j + -20j = -2j -36 + -2j = 6 + 20j + -20j Combine like terms: 20j + -20j = 0 -36 + -2j = 6 + 0 -36 + -2j = 6 Add '36' to each side of the equation. -36 + 36 + -2j = 6 + 36 Combine like terms: -36 + 36 = 0 0 + -2j = 6 + 36 -2j = 6 + 36 Combine like terms: 6 + 36 = 42 -2j = 42 Divide each side by '-2'. j = -21 Simplifying j = -21
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