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Simplifying 42 = 8j + 13j Combine like terms: 8j + 13j = 21j 42 = 21j Solving 42 = 21j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-21j' to each side of the equation. 42 + -21j = 21j + -21j Combine like terms: 21j + -21j = 0 42 + -21j = 0 Add '-42' to each side of the equation. 42 + -42 + -21j = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -21j = 0 + -42 -21j = 0 + -42 Combine like terms: 0 + -42 = -42 -21j = -42 Divide each side by '-21'. j = 2 Simplifying j = 2
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