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Simplifying 27j + -6 = 14j + 7 Reorder the terms: -6 + 27j = 14j + 7 Reorder the terms: -6 + 27j = 7 + 14j Solving -6 + 27j = 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. -6 + 27j + -14j = 7 + 14j + -14j Combine like terms: 27j + -14j = 13j -6 + 13j = 7 + 14j + -14j Combine like terms: 14j + -14j = 0 -6 + 13j = 7 + 0 -6 + 13j = 7 Add '6' to each side of the equation. -6 + 6 + 13j = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 13j = 7 + 6 13j = 7 + 6 Combine like terms: 7 + 6 = 13 13j = 13 Divide each side by '13'. j = 1 Simplifying j = 1
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