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Simplifying -7j + 10 + -3 = 10j + -10 Reorder the terms: 10 + -3 + -7j = 10j + -10 Combine like terms: 10 + -3 = 7 7 + -7j = 10j + -10 Reorder the terms: 7 + -7j = -10 + 10j Solving 7 + -7j = -10 + 10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-10j' to each side of the equation. 7 + -7j + -10j = -10 + 10j + -10j Combine like terms: -7j + -10j = -17j 7 + -17j = -10 + 10j + -10j Combine like terms: 10j + -10j = 0 7 + -17j = -10 + 0 7 + -17j = -10 Add '-7' to each side of the equation. 7 + -7 + -17j = -10 + -7 Combine like terms: 7 + -7 = 0 0 + -17j = -10 + -7 -17j = -10 + -7 Combine like terms: -10 + -7 = -17 -17j = -17 Divide each side by '-17'. j = 1 Simplifying j = 1
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