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Simplifying -20j + 20 = -7(7j + 20) + 19j Reorder the terms: 20 + -20j = -7(7j + 20) + 19j Reorder the terms: 20 + -20j = -7(20 + 7j) + 19j 20 + -20j = (20 * -7 + 7j * -7) + 19j 20 + -20j = (-140 + -49j) + 19j Combine like terms: -49j + 19j = -30j 20 + -20j = -140 + -30j Solving 20 + -20j = -140 + -30j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '30j' to each side of the equation. 20 + -20j + 30j = -140 + -30j + 30j Combine like terms: -20j + 30j = 10j 20 + 10j = -140 + -30j + 30j Combine like terms: -30j + 30j = 0 20 + 10j = -140 + 0 20 + 10j = -140 Add '-20' to each side of the equation. 20 + -20 + 10j = -140 + -20 Combine like terms: 20 + -20 = 0 0 + 10j = -140 + -20 10j = -140 + -20 Combine like terms: -140 + -20 = -160 10j = -160 Divide each side by '10'. j = -16 Simplifying j = -16
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