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Simplifying -15 + -16j + 12j = -5(2j + -15) Combine like terms: -16j + 12j = -4j -15 + -4j = -5(2j + -15) Reorder the terms: -15 + -4j = -5(-15 + 2j) -15 + -4j = (-15 * -5 + 2j * -5) -15 + -4j = (75 + -10j) Solving -15 + -4j = 75 + -10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '10j' to each side of the equation. -15 + -4j + 10j = 75 + -10j + 10j Combine like terms: -4j + 10j = 6j -15 + 6j = 75 + -10j + 10j Combine like terms: -10j + 10j = 0 -15 + 6j = 75 + 0 -15 + 6j = 75 Add '15' to each side of the equation. -15 + 15 + 6j = 75 + 15 Combine like terms: -15 + 15 = 0 0 + 6j = 75 + 15 6j = 75 + 15 Combine like terms: 75 + 15 = 90 6j = 90 Divide each side by '6'. j = 15 Simplifying j = 15
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