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Simplifying 9 + -7n + 2n = 17 + -83 Combine like terms: -7n + 2n = -5n 9 + -5n = 17 + -83 Combine like terms: 17 + -83 = -66 9 + -5n = -66 Solving 9 + -5n = -66 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5n = -66 + -9 Combine like terms: 9 + -9 = 0 0 + -5n = -66 + -9 -5n = -66 + -9 Combine like terms: -66 + -9 = -75 -5n = -75 Divide each side by '-5'. n = 15 Simplifying n = 15
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