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Simplifying 8 + 10n + -6 = 4n + 18 + -2n Reorder the terms: 8 + -6 + 10n = 4n + 18 + -2n Combine like terms: 8 + -6 = 2 2 + 10n = 4n + 18 + -2n Reorder the terms: 2 + 10n = 18 + 4n + -2n Combine like terms: 4n + -2n = 2n 2 + 10n = 18 + 2n Solving 2 + 10n = 18 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 2 + 10n + -2n = 18 + 2n + -2n Combine like terms: 10n + -2n = 8n 2 + 8n = 18 + 2n + -2n Combine like terms: 2n + -2n = 0 2 + 8n = 18 + 0 2 + 8n = 18 Add '-2' to each side of the equation. 2 + -2 + 8n = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 8n = 18 + -2 8n = 18 + -2 Combine like terms: 18 + -2 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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