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Simplifying 8n + 6 = 1 + -2n Reorder the terms: 6 + 8n = 1 + -2n Solving 6 + 8n = 1 + -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. 6 + 8n + 2n = 1 + -2n + 2n Combine like terms: 8n + 2n = 10n 6 + 10n = 1 + -2n + 2n Combine like terms: -2n + 2n = 0 6 + 10n = 1 + 0 6 + 10n = 1 Add '-6' to each side of the equation. 6 + -6 + 10n = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 10n = 1 + -6 10n = 1 + -6 Combine like terms: 1 + -6 = -5 10n = -5 Divide each side by '10'. n = -0.5 Simplifying n = -0.5
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