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Simplifying 5(-4j + 1) = -1(19j + -15) Reorder the terms: 5(1 + -4j) = -1(19j + -15) (1 * 5 + -4j * 5) = -1(19j + -15) (5 + -20j) = -1(19j + -15) Reorder the terms: 5 + -20j = -1(-15 + 19j) 5 + -20j = (-15 * -1 + 19j * -1) 5 + -20j = (15 + -19j) Solving 5 + -20j = 15 + -19j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '19j' to each side of the equation. 5 + -20j + 19j = 15 + -19j + 19j Combine like terms: -20j + 19j = -1j 5 + -1j = 15 + -19j + 19j Combine like terms: -19j + 19j = 0 5 + -1j = 15 + 0 5 + -1j = 15 Add '-5' to each side of the equation. 5 + -5 + -1j = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -1j = 15 + -5 -1j = 15 + -5 Combine like terms: 15 + -5 = 10 -1j = 10 Divide each side by '-1'. j = -10 Simplifying j = -10
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