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Simplifying 7j + -4(j + -3) = 3(7 + 2j) Reorder the terms: 7j + -4(-3 + j) = 3(7 + 2j) 7j + (-3 * -4 + j * -4) = 3(7 + 2j) 7j + (12 + -4j) = 3(7 + 2j) Reorder the terms: 12 + 7j + -4j = 3(7 + 2j) Combine like terms: 7j + -4j = 3j 12 + 3j = 3(7 + 2j) 12 + 3j = (7 * 3 + 2j * 3) 12 + 3j = (21 + 6j) Solving 12 + 3j = 21 + 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 + 3j + -6j = 21 + 6j + -6j Combine like terms: 3j + -6j = -3j 12 + -3j = 21 + 6j + -6j Combine like terms: 6j + -6j = 0 12 + -3j = 21 + 0 12 + -3j = 21 Add '-12' to each side of the equation. 12 + -12 + -3j = 21 + -12 Combine like terms: 12 + -12 = 0 0 + -3j = 21 + -12 -3j = 21 + -12 Combine like terms: 21 + -12 = 9 -3j = 9 Divide each side by '-3'. j = -3 Simplifying j = -3
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