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Simplifying 3(5j + 2) = 6j + -12 Reorder the terms: 3(2 + 5j) = 6j + -12 (2 * 3 + 5j * 3) = 6j + -12 (6 + 15j) = 6j + -12 Reorder the terms: 6 + 15j = -12 + 6j Solving 6 + 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. 6 + 15j + -6j = -12 + 6j + -6j Combine like terms: 15j + -6j = 9j 6 + 9j = -12 + 6j + -6j Combine like terms: 6j + -6j = 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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