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Simplifying 12j + -9 = 4j + 15 Reorder the terms: -9 + 12j = 4j + 15 Reorder the terms: -9 + 12j = 15 + 4j Solving -9 + 12j = 15 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. -9 + 12j + -4j = 15 + 4j + -4j Combine like terms: 12j + -4j = 8j -9 + 8j = 15 + 4j + -4j Combine like terms: 4j + -4j = 0 -9 + 8j = 15 + 0 -9 + 8j = 15 Add '9' to each side of the equation. -9 + 9 + 8j = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 8j = 15 + 9 8j = 15 + 9 Combine like terms: 15 + 9 = 24 8j = 24 Divide each side by '8'. j = 3 Simplifying j = 3
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