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Simplifying 8n + -10 = -4n + 10n + 2 + 12 Reorder the terms: -10 + 8n = -4n + 10n + 2 + 12 Reorder the terms: -10 + 8n = 2 + 12 + -4n + 10n Combine like terms: 2 + 12 = 14 -10 + 8n = 14 + -4n + 10n Combine like terms: -4n + 10n = 6n -10 + 8n = 14 + 6n Solving -10 + 8n = 14 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -10 + 8n + -6n = 14 + 6n + -6n Combine like terms: 8n + -6n = 2n -10 + 2n = 14 + 6n + -6n Combine like terms: 6n + -6n = 0 -10 + 2n = 14 + 0 -10 + 2n = 14 Add '10' to each side of the equation. -10 + 10 + 2n = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 2n = 14 + 10 2n = 14 + 10 Combine like terms: 14 + 10 = 24 2n = 24 Divide each side by '2'. n = 12 Simplifying n = 12
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