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Simplifying 4 + -10j = 3(-7j + 16) Reorder the terms: 4 + -10j = 3(16 + -7j) 4 + -10j = (16 * 3 + -7j * 3) 4 + -10j = (48 + -21j) Solving 4 + -10j = 48 + -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. 4 + -10j + 21j = 48 + -21j + 21j Combine like terms: -10j + 21j = 11j 4 + 11j = 48 + -21j + 21j Combine like terms: -21j + 21j = 0 4 + 11j = 48 + 0 4 + 11j = 48 Add '-4' to each side of the equation. 4 + -4 + 11j = 48 + -4 Combine like terms: 4 + -4 = 0 0 + 11j = 48 + -4 11j = 48 + -4 Combine like terms: 48 + -4 = 44 11j = 44 Divide each side by '11'. j = 4 Simplifying j = 4
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