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Simplifying 160 + -1(12 + j) = 78 160 + (12 * -1 + j * -1) = 78 160 + (-12 + -1j) = 78 Combine like terms: 160 + -12 = 148 148 + -1j = 78 Solving 148 + -1j = 78 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-148' to each side of the equation. 148 + -148 + -1j = 78 + -148 Combine like terms: 148 + -148 = 0 0 + -1j = 78 + -148 -1j = 78 + -148 Combine like terms: 78 + -148 = -70 -1j = -70 Divide each side by '-1'. j = 70 Simplifying j = 70
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