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Simplifying -19j + 20 + 18j = 4(-3j + -20) + -9j Reorder the terms: 20 + -19j + 18j = 4(-3j + -20) + -9j Combine like terms: -19j + 18j = -1j 20 + -1j = 4(-3j + -20) + -9j Reorder the terms: 20 + -1j = 4(-20 + -3j) + -9j 20 + -1j = (-20 * 4 + -3j * 4) + -9j 20 + -1j = (-80 + -12j) + -9j Combine like terms: -12j + -9j = -21j 20 + -1j = -80 + -21j Solving 20 + -1j = -80 + -21j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '21j' to each side of the equation. 20 + -1j + 21j = -80 + -21j + 21j Combine like terms: -1j + 21j = 20j 20 + 20j = -80 + -21j + 21j Combine like terms: -21j + 21j = 0 20 + 20j = -80 + 0 20 + 20j = -80 Add '-20' to each side of the equation. 20 + -20 + 20j = -80 + -20 Combine like terms: 20 + -20 = 0 0 + 20j = -80 + -20 20j = -80 + -20 Combine like terms: -80 + -20 = -100 20j = -100 Divide each side by '20'. j = -5 Simplifying j = -5
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