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Simplifying 4j + 40 = 12j Reorder the terms: 40 + 4j = 12j Solving 40 + 4j = 12j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12j' to each side of the equation. 40 + 4j + -12j = 12j + -12j Combine like terms: 4j + -12j = -8j 40 + -8j = 12j + -12j Combine like terms: 12j + -12j = 0 40 + -8j = 0 Add '-40' to each side of the equation. 40 + -40 + -8j = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -8j = 0 + -40 -8j = 0 + -40 Combine like terms: 0 + -40 = -40 -8j = -40 Divide each side by '-8'. j = 5 Simplifying j = 5
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