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Simplifying 10n + 6 + -2n + -1 = 8n + 1 + 2n Reorder the terms: 6 + -1 + 10n + -2n = 8n + 1 + 2n Combine like terms: 6 + -1 = 5 5 + 10n + -2n = 8n + 1 + 2n Combine like terms: 10n + -2n = 8n 5 + 8n = 8n + 1 + 2n Reorder the terms: 5 + 8n = 1 + 8n + 2n Combine like terms: 8n + 2n = 10n 5 + 8n = 1 + 10n Solving 5 + 8n = 1 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 5 + 8n + -10n = 1 + 10n + -10n Combine like terms: 8n + -10n = -2n 5 + -2n = 1 + 10n + -10n Combine like terms: 10n + -10n = 0 5 + -2n = 1 + 0 5 + -2n = 1 Add '-5' to each side of the equation. 5 + -5 + -2n = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 1 + -5 -2n = 1 + -5 Combine like terms: 1 + -5 = -4 -2n = -4 Divide each side by '-2'. n = 2 Simplifying n = 2
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