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Simplifying 7j + -3(2j + -8) = 2 + -8j + -1j Reorder the terms: 7j + -3(-8 + 2j) = 2 + -8j + -1j 7j + (-8 * -3 + 2j * -3) = 2 + -8j + -1j 7j + (24 + -6j) = 2 + -8j + -1j Reorder the terms: 24 + 7j + -6j = 2 + -8j + -1j Combine like terms: 7j + -6j = 1j 24 + 1j = 2 + -8j + -1j Combine like terms: -8j + -1j = -9j 24 + 1j = 2 + -9j Solving 24 + 1j = 2 + -9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '9j' to each side of the equation. 24 + 1j + 9j = 2 + -9j + 9j Combine like terms: 1j + 9j = 10j 24 + 10j = 2 + -9j + 9j Combine like terms: -9j + 9j = 0 24 + 10j = 2 + 0 24 + 10j = 2 Add '-24' to each side of the equation. 24 + -24 + 10j = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 10j = 2 + -24 10j = 2 + -24 Combine like terms: 2 + -24 = -22 10j = -22 Divide each side by '10'. j = -2.2 Simplifying j = -2.2
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