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Simplifying 7n + -8 = 2n + 7 Reorder the terms: -8 + 7n = 2n + 7 Reorder the terms: -8 + 7n = 7 + 2n Solving -8 + 7n = 7 + 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. -8 + 7n + -2n = 7 + 2n + -2n Combine like terms: 7n + -2n = 5n -8 + 5n = 7 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + 5n = 7 + 0 -8 + 5n = 7 Add '8' to each side of the equation. -8 + 8 + 5n = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5n = 7 + 8 5n = 7 + 8 Combine like terms: 7 + 8 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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