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Simplifying 6(7j + 2) = -14 + 20j + 20j Reorder the terms: 6(2 + 7j) = -14 + 20j + 20j (2 * 6 + 7j * 6) = -14 + 20j + 20j (12 + 42j) = -14 + 20j + 20j Combine like terms: 20j + 20j = 40j 12 + 42j = -14 + 40j Solving 12 + 42j = -14 + 40j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-40j' to each side of the equation. 12 + 42j + -40j = -14 + 40j + -40j Combine like terms: 42j + -40j = 2j 12 + 2j = -14 + 40j + -40j Combine like terms: 40j + -40j = 0 12 + 2j = -14 + 0 12 + 2j = -14 Add '-12' to each side of the equation. 12 + -12 + 2j = -14 + -12 Combine like terms: 12 + -12 = 0 0 + 2j = -14 + -12 2j = -14 + -12 Combine like terms: -14 + -12 = -26 2j = -26 Divide each side by '2'. j = -13 Simplifying j = -13
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