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Simplifying 27 + -6 = 14j + 7 Combine like terms: 27 + -6 = 21 21 = 14j + 7 Reorder the terms: 21 = 7 + 14j Solving 21 = 7 + 14j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-14j' to each side of the equation. 21 + -14j = 7 + 14j + -14j Combine like terms: 14j + -14j = 0 21 + -14j = 7 + 0 21 + -14j = 7 Add '-21' to each side of the equation. 21 + -21 + -14j = 7 + -21 Combine like terms: 21 + -21 = 0 0 + -14j = 7 + -21 -14j = 7 + -21 Combine like terms: 7 + -21 = -14 -14j = -14 Divide each side by '-14'. j = 1 Simplifying j = 1
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