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Simplifying -5(-14 + 13j) = -4(20j + -10) (-14 * -5 + 13j * -5) = -4(20j + -10) (70 + -65j) = -4(20j + -10) Reorder the terms: 70 + -65j = -4(-10 + 20j) 70 + -65j = (-10 * -4 + 20j * -4) 70 + -65j = (40 + -80j) Solving 70 + -65j = 40 + -80j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '80j' to each side of the equation. 70 + -65j + 80j = 40 + -80j + 80j Combine like terms: -65j + 80j = 15j 70 + 15j = 40 + -80j + 80j Combine like terms: -80j + 80j = 0 70 + 15j = 40 + 0 70 + 15j = 40 Add '-70' to each side of the equation. 70 + -70 + 15j = 40 + -70 Combine like terms: 70 + -70 = 0 0 + 15j = 40 + -70 15j = 40 + -70 Combine like terms: 40 + -70 = -30 15j = -30 Divide each side by '15'. j = -2 Simplifying j = -2
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