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Simplifying 8n + -5 + 2n = 7n + 16 Reorder the terms: -5 + 8n + 2n = 7n + 16 Combine like terms: 8n + 2n = 10n -5 + 10n = 7n + 16 Reorder the terms: -5 + 10n = 16 + 7n Solving -5 + 10n = 16 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -5 + 10n + -7n = 16 + 7n + -7n Combine like terms: 10n + -7n = 3n -5 + 3n = 16 + 7n + -7n Combine like terms: 7n + -7n = 0 -5 + 3n = 16 + 0 -5 + 3n = 16 Add '5' to each side of the equation. -5 + 5 + 3n = 16 + 5 Combine like terms: -5 + 5 = 0 0 + 3n = 16 + 5 3n = 16 + 5 Combine like terms: 16 + 5 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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