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Simplifying 42j + (-41j) + 12 = -38 Reorder the terms: 12 + 42j + (-41j) = -38 Combine like terms: 42j + (-41j) = 1j 12 + 1j = -38 Solving 12 + 1j = -38 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1j = -38 + -12 Combine like terms: 12 + -12 = 0 0 + 1j = -38 + -12 1j = -38 + -12 Combine like terms: -38 + -12 = -50 1j = -50 Divide each side by '1'. j = -50 Simplifying j = -50
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