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Simplifying 9j + -7 + 3j = 6j + -10 + 3j Reorder the terms: -7 + 9j + 3j = 6j + -10 + 3j Combine like terms: 9j + 3j = 12j -7 + 12j = 6j + -10 + 3j Reorder the terms: -7 + 12j = -10 + 6j + 3j Combine like terms: 6j + 3j = 9j -7 + 12j = -10 + 9j Solving -7 + 12j = -10 + 9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9j' to each side of the equation. -7 + 12j + -9j = -10 + 9j + -9j Combine like terms: 12j + -9j = 3j -7 + 3j = -10 + 9j + -9j Combine like terms: 9j + -9j = 0 -7 + 3j = -10 + 0 -7 + 3j = -10 Add '7' to each side of the equation. -7 + 7 + 3j = -10 + 7 Combine like terms: -7 + 7 = 0 0 + 3j = -10 + 7 3j = -10 + 7 Combine like terms: -10 + 7 = -3 3j = -3 Divide each side by '3'. j = -1 Simplifying j = -1
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