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Simplifying 3(5j + 4) = 2(3j + -6) Reorder the terms: 3(4 + 5j) = 2(3j + -6) (4 * 3 + 5j * 3) = 2(3j + -6) (12 + 15j) = 2(3j + -6) Reorder the terms: 12 + 15j = 2(-6 + 3j) 12 + 15j = (-6 * 2 + 3j * 2) 12 + 15j = (-12 + 6j) Solving 12 + 15j = -12 + 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 + 15j + -6j = -12 + 6j + -6j Combine like terms: 15j + -6j = 9j 12 + 9j = -12 + 6j + -6j Combine like terms: 6j + -6j = 0 12 + 9j = -12 + 0 12 + 9j = -12 Add '-12' to each side of the equation. 12 + -12 + 9j = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 9j = -12 + -12 9j = -12 + -12 Combine like terms: -12 + -12 = -24 9j = -24 Divide each side by '9'. j = -2.666666667 Simplifying j = -2.666666667
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