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Simplifying 3(4j + -5) = 2(-11 + 5j) Reorder the terms: 3(-5 + 4j) = 2(-11 + 5j) (-5 * 3 + 4j * 3) = 2(-11 + 5j) (-15 + 12j) = 2(-11 + 5j) -15 + 12j = (-11 * 2 + 5j * 2) -15 + 12j = (-22 + 10j) Solving -15 + 12j = -22 + 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 + 12j + -10j = -22 + 10j + -10j Combine like terms: 12j + -10j = 2j -15 + 2j = -22 + 10j + -10j Combine like terms: 10j + -10j = 0 -15 + 2j = -22 + 0 -15 + 2j = -22 Add '15' to each side of the equation. -15 + 15 + 2j = -22 + 15 Combine like terms: -15 + 15 = 0 0 + 2j = -22 + 15 2j = -22 + 15 Combine like terms: -22 + 15 = -7 2j = -7 Divide each side by '2'. j = -3.5 Simplifying j = -3.5
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