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Simplifying -15 + -16j + 12 = -5(2j + -15) Reorder the terms: -15 + 12 + -16j = -5(2j + -15) Combine like terms: -15 + 12 = -3 -3 + -16j = -5(2j + -15) Reorder the terms: -3 + -16j = -5(-15 + 2j) -3 + -16j = (-15 * -5 + 2j * -5) -3 + -16j = (75 + -10j) Solving -3 + -16j = 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. -3 + -16j + 10j = 75 + -10j + 10j Combine like terms: -16j + 10j = -6j -3 + -6j = 75 + -10j + 10j Combine like terms: -10j + 10j = 0 -3 + -6j = 75 + 0 -3 + -6j = 75 Add '3' to each side of the equation. -3 + 3 + -6j = 75 + 3 Combine like terms: -3 + 3 = 0 0 + -6j = 75 + 3 -6j = 75 + 3 Combine like terms: 75 + 3 = 78 -6j = 78 Divide each side by '-6'. j = -13 Simplifying j = -13
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