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Simplifying -30 = j + -10 + 11j Reorder the terms: -30 = -10 + j + 11j Combine like terms: j + 11j = 12j -30 = -10 + 12j Solving -30 = -10 + 12j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12j' to each side of the equation. -30 + -12j = -10 + 12j + -12j Combine like terms: 12j + -12j = 0 -30 + -12j = -10 + 0 -30 + -12j = -10 Add '30' to each side of the equation. -30 + 30 + -12j = -10 + 30 Combine like terms: -30 + 30 = 0 0 + -12j = -10 + 30 -12j = -10 + 30 Combine like terms: -10 + 30 = 20 -12j = 20 Divide each side by '-12'. j = -1.666666667 Simplifying j = -1.666666667
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