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Simplifying 8n + 7 + 2n + -5 = 7n + -6n + -8 Reorder the terms: 7 + -5 + 8n + 2n = 7n + -6n + -8 Combine like terms: 7 + -5 = 2 2 + 8n + 2n = 7n + -6n + -8 Combine like terms: 8n + 2n = 10n 2 + 10n = 7n + -6n + -8 Reorder the terms: 2 + 10n = -8 + 7n + -6n Combine like terms: 7n + -6n = 1n 2 + 10n = -8 + 1n Solving 2 + 10n = -8 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 2 + 10n + -1n = -8 + 1n + -1n Combine like terms: 10n + -1n = 9n 2 + 9n = -8 + 1n + -1n Combine like terms: 1n + -1n = 0 2 + 9n = -8 + 0 2 + 9n = -8 Add '-2' to each side of the equation. 2 + -2 + 9n = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 9n = -8 + -2 9n = -8 + -2 Combine like terms: -8 + -2 = -10 9n = -10 Divide each side by '9'. n = -1.111111111 Simplifying n = -1.111111111
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