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Simplifying -9(j + -7) = -11 + 6j Reorder the terms: -9(-7 + j) = -11 + 6j (-7 * -9 + j * -9) = -11 + 6j (63 + -9j) = -11 + 6j Solving 63 + -9j = -11 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. 63 + -9j + -6j = -11 + 6j + -6j Combine like terms: -9j + -6j = -15j 63 + -15j = -11 + 6j + -6j Combine like terms: 6j + -6j = 0 63 + -15j = -11 + 0 63 + -15j = -11 Add '-63' to each side of the equation. 63 + -63 + -15j = -11 + -63 Combine like terms: 63 + -63 = 0 0 + -15j = -11 + -63 -15j = -11 + -63 Combine like terms: -11 + -63 = -74 -15j = -74 Divide each side by '-15'. j = 4.933333333 Simplifying j = 4.933333333
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