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Simplifying 2(3j + 4) + -1(j + -3) = 0 Reorder the terms: 2(4 + 3j) + -1(j + -3) = 0 (4 * 2 + 3j * 2) + -1(j + -3) = 0 (8 + 6j) + -1(j + -3) = 0 Reorder the terms: 8 + 6j + -1(-3 + j) = 0 8 + 6j + (-3 * -1 + j * -1) = 0 8 + 6j + (3 + -1j) = 0 Reorder the terms: 8 + 3 + 6j + -1j = 0 Combine like terms: 8 + 3 = 11 11 + 6j + -1j = 0 Combine like terms: 6j + -1j = 5j 11 + 5j = 0 Solving 11 + 5j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5j = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5j = 0 + -11 5j = 0 + -11 Combine like terms: 0 + -11 = -11 5j = -11 Divide each side by '5'. j = -2.2 Simplifying j = -2.2
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