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Simplifying 2 + 3(5j + 2) = 2(3j + -6) Reorder the terms: 2 + 3(2 + 5j) = 2(3j + -6) 2 + (2 * 3 + 5j * 3) = 2(3j + -6) 2 + (6 + 15j) = 2(3j + -6) Combine like terms: 2 + 6 = 8 8 + 15j = 2(3j + -6) Reorder the terms: 8 + 15j = 2(-6 + 3j) 8 + 15j = (-6 * 2 + 3j * 2) 8 + 15j = (-12 + 6j) Solving 8 + 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. 8 + 15j + -6j = -12 + 6j + -6j Combine like terms: 15j + -6j = 9j 8 + 9j = -12 + 6j + -6j Combine like terms: 6j + -6j = 0 8 + 9j = -12 + 0 8 + 9j = -12 Add '-8' to each side of the equation. 8 + -8 + 9j = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 9j = -12 + -8 9j = -12 + -8 Combine like terms: -12 + -8 = -20 9j = -20 Divide each side by '9'. j = -2.222222222 Simplifying j = -2.222222222
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