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Simplifying 5n + 8 + 2n = -5n + -2 + 2n Reorder the terms: 8 + 5n + 2n = -5n + -2 + 2n Combine like terms: 5n + 2n = 7n 8 + 7n = -5n + -2 + 2n Reorder the terms: 8 + 7n = -2 + -5n + 2n Combine like terms: -5n + 2n = -3n 8 + 7n = -2 + -3n Solving 8 + 7n = -2 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 8 + 7n + 3n = -2 + -3n + 3n Combine like terms: 7n + 3n = 10n 8 + 10n = -2 + -3n + 3n Combine like terms: -3n + 3n = 0 8 + 10n = -2 + 0 8 + 10n = -2 Add '-8' to each side of the equation. 8 + -8 + 10n = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 10n = -2 + -8 10n = -2 + -8 Combine like terms: -2 + -8 = -10 10n = -10 Divide each side by '10'. n = -1 Simplifying n = -1
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