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Simplifying 7j + -3(4 + -2j) = 6j 7j + (4 * -3 + -2j * -3) = 6j 7j + (-12 + 6j) = 6j Reorder the terms: -12 + 7j + 6j = 6j Combine like terms: 7j + 6j = 13j -12 + 13j = 6j Solving -12 + 13j = 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. -12 + 13j + -6j = 6j + -6j Combine like terms: 13j + -6j = 7j -12 + 7j = 6j + -6j Combine like terms: 6j + -6j = 0 -12 + 7j = 0 Add '12' to each side of the equation. -12 + 12 + 7j = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 7j = 0 + 12 7j = 0 + 12 Combine like terms: 0 + 12 = 12 7j = 12 Divide each side by '7'. j = 1.714285714 Simplifying j = 1.714285714
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