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Simplifying 10j + -2 = 6 + 8j + 14 Reorder the terms: -2 + 10j = 6 + 8j + 14 Reorder the terms: -2 + 10j = 6 + 14 + 8j Combine like terms: 6 + 14 = 20 -2 + 10j = 20 + 8j Solving -2 + 10j = 20 + 8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8j' to each side of the equation. -2 + 10j + -8j = 20 + 8j + -8j Combine like terms: 10j + -8j = 2j -2 + 2j = 20 + 8j + -8j Combine like terms: 8j + -8j = 0 -2 + 2j = 20 + 0 -2 + 2j = 20 Add '2' to each side of the equation. -2 + 2 + 2j = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 2j = 20 + 2 2j = 20 + 2 Combine like terms: 20 + 2 = 22 2j = 22 Divide each side by '2'. j = 11 Simplifying j = 11
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