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Simplifying 4(1 + -2j) = 7(2j + 10) (1 * 4 + -2j * 4) = 7(2j + 10) (4 + -8j) = 7(2j + 10) Reorder the terms: 4 + -8j = 7(10 + 2j) 4 + -8j = (10 * 7 + 2j * 7) 4 + -8j = (70 + 14j) Solving 4 + -8j = 70 + 14j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-14j' to each side of the equation. 4 + -8j + -14j = 70 + 14j + -14j Combine like terms: -8j + -14j = -22j 4 + -22j = 70 + 14j + -14j Combine like terms: 14j + -14j = 0 4 + -22j = 70 + 0 4 + -22j = 70 Add '-4' to each side of the equation. 4 + -4 + -22j = 70 + -4 Combine like terms: 4 + -4 = 0 0 + -22j = 70 + -4 -22j = 70 + -4 Combine like terms: 70 + -4 = 66 -22j = 66 Divide each side by '-22'. j = -3 Simplifying j = -3
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