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Simplifying 27j + -6 = 14j + 17 Reorder the terms: -6 + 27j = 14j + 17 Reorder the terms: -6 + 27j = 17 + 14j Solving -6 + 27j = 17 + 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. -6 + 27j + -14j = 17 + 14j + -14j Combine like terms: 27j + -14j = 13j -6 + 13j = 17 + 14j + -14j Combine like terms: 14j + -14j = 0 -6 + 13j = 17 + 0 -6 + 13j = 17 Add '6' to each side of the equation. -6 + 6 + 13j = 17 + 6 Combine like terms: -6 + 6 = 0 0 + 13j = 17 + 6 13j = 17 + 6 Combine like terms: 17 + 6 = 23 13j = 23 Divide each side by '13'. j = 1.769230769 Simplifying j = 1.769230769
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