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Simplifying 7n + -9 = 2n + 31 Reorder the terms: -9 + 7n = 2n + 31 Reorder the terms: -9 + 7n = 31 + 2n Solving -9 + 7n = 31 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -9 + 7n + -2n = 31 + 2n + -2n Combine like terms: 7n + -2n = 5n -9 + 5n = 31 + 2n + -2n Combine like terms: 2n + -2n = 0 -9 + 5n = 31 + 0 -9 + 5n = 31 Add '9' to each side of the equation. -9 + 9 + 5n = 31 + 9 Combine like terms: -9 + 9 = 0 0 + 5n = 31 + 9 5n = 31 + 9 Combine like terms: 31 + 9 = 40 5n = 40 Divide each side by '5'. n = 8 Simplifying n = 8
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