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Simplifying 2n + -5 = -2n + 7 + 10n Reorder the terms: -5 + 2n = -2n + 7 + 10n Reorder the terms: -5 + 2n = 7 + -2n + 10n Combine like terms: -2n + 10n = 8n -5 + 2n = 7 + 8n Solving -5 + 2n = 7 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -5 + 2n + -8n = 7 + 8n + -8n Combine like terms: 2n + -8n = -6n -5 + -6n = 7 + 8n + -8n Combine like terms: 8n + -8n = 0 -5 + -6n = 7 + 0 -5 + -6n = 7 Add '5' to each side of the equation. -5 + 5 + -6n = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -6n = 7 + 5 -6n = 7 + 5 Combine like terms: 7 + 5 = 12 -6n = 12 Divide each side by '-6'. n = -2 Simplifying n = -2
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