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Simplifying 27j + -6 = -12j + 7 Reorder the terms: -6 + 27j = -12j + 7 Reorder the terms: -6 + 27j = 7 + -12j Solving -6 + 27j = 7 + -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. -6 + 27j + 12j = 7 + -12j + 12j Combine like terms: 27j + 12j = 39j -6 + 39j = 7 + -12j + 12j Combine like terms: -12j + 12j = 0 -6 + 39j = 7 + 0 -6 + 39j = 7 Add '6' to each side of the equation. -6 + 6 + 39j = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 39j = 7 + 6 39j = 7 + 6 Combine like terms: 7 + 6 = 13 39j = 13 Divide each side by '39'. j = 0.3333333333 Simplifying j = 0.3333333333
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