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Simplifying (-12j) + 9j + -20 = (-8j) + 20 Reorder the terms: -20 + (-12j) + 9j = (-8j) + 20 Combine like terms: (-12j) + 9j = -3j -20 + -3j = (-8j) + 20 Reorder the terms: -20 + -3j = 20 + (-8j) Solving -20 + -3j = 20 + (-8j) Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '(8j)' to each side of the equation. -20 + -3j + (8j) = 20 + (-8j) + (8j) Combine like terms: -3j + (8j) = 5j -20 + 5j = 20 + (-8j) + (8j) Combine like terms: (-8j) + (8j) = 0 -20 + 5j = 20 + 0 -20 + 5j = 20 Add '20' to each side of the equation. -20 + 20 + 5j = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 5j = 20 + 20 5j = 20 + 20 Combine like terms: 20 + 20 = 40 5j = 40 Divide each side by '5'. j = 8 Simplifying j = 8
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