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Simplifying 8n + 2n = 10 + 5n + 7n Combine like terms: 8n + 2n = 10n 10n = 10 + 5n + 7n Combine like terms: 5n + 7n = 12n 10n = 10 + 12n Solving 10n = 10 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 10n + -12n = 10 + 12n + -12n Combine like terms: 10n + -12n = -2n -2n = 10 + 12n + -12n Combine like terms: 12n + -12n = 0 -2n = 10 + 0 -2n = 10 Divide each side by '-2'. n = -5 Simplifying n = -5
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