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Simplifying 9j + -12 = j + 12 Reorder the terms: -12 + 9j = j + 12 Reorder the terms: -12 + 9j = 12 + j Solving -12 + 9j = 12 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. -12 + 9j + -1j = 12 + j + -1j Combine like terms: 9j + -1j = 8j -12 + 8j = 12 + j + -1j Combine like terms: j + -1j = 0 -12 + 8j = 12 + 0 -12 + 8j = 12 Add '12' to each side of the equation. -12 + 12 + 8j = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 8j = 12 + 12 8j = 12 + 12 Combine like terms: 12 + 12 = 24 8j = 24 Divide each side by '8'. j = 3 Simplifying j = 3
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