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Simplifying 6 = 3(3j + -4) Reorder the terms: 6 = 3(-4 + 3j) 6 = (-4 * 3 + 3j * 3) 6 = (-12 + 9j) Solving 6 = -12 + 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. 6 + -9j = -12 + 9j + -9j Combine like terms: 9j + -9j = 0 6 + -9j = -12 + 0 6 + -9j = -12 Add '-6' to each side of the equation. 6 + -6 + -9j = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -9j = -12 + -6 -9j = -12 + -6 Combine like terms: -12 + -6 = -18 -9j = -18 Divide each side by '-9'. j = 2 Simplifying j = 2
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