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Simplifying 11 + 7(6j + 19) = 2(14j + 9) Reorder the terms: 11 + 7(19 + 6j) = 2(14j + 9) 11 + (19 * 7 + 6j * 7) = 2(14j + 9) 11 + (133 + 42j) = 2(14j + 9) Combine like terms: 11 + 133 = 144 144 + 42j = 2(14j + 9) Reorder the terms: 144 + 42j = 2(9 + 14j) 144 + 42j = (9 * 2 + 14j * 2) 144 + 42j = (18 + 28j) Solving 144 + 42j = 18 + 28j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-28j' to each side of the equation. 144 + 42j + -28j = 18 + 28j + -28j Combine like terms: 42j + -28j = 14j 144 + 14j = 18 + 28j + -28j Combine like terms: 28j + -28j = 0 144 + 14j = 18 + 0 144 + 14j = 18 Add '-144' to each side of the equation. 144 + -144 + 14j = 18 + -144 Combine like terms: 144 + -144 = 0 0 + 14j = 18 + -144 14j = 18 + -144 Combine like terms: 18 + -144 = -126 14j = -126 Divide each side by '14'. j = -9 Simplifying j = -9
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