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Simplifying 3n + 83 = 7n + -9 Reorder the terms: 83 + 3n = 7n + -9 Reorder the terms: 83 + 3n = -9 + 7n Solving 83 + 3n = -9 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 83 + 3n + -7n = -9 + 7n + -7n Combine like terms: 3n + -7n = -4n 83 + -4n = -9 + 7n + -7n Combine like terms: 7n + -7n = 0 83 + -4n = -9 + 0 83 + -4n = -9 Add '-83' to each side of the equation. 83 + -83 + -4n = -9 + -83 Combine like terms: 83 + -83 = 0 0 + -4n = -9 + -83 -4n = -9 + -83 Combine like terms: -9 + -83 = -92 -4n = -92 Divide each side by '-4'. n = 23 Simplifying n = 23
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