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Simplifying 3n + 5n + 1 = -5 + -2n Reorder the terms: 1 + 3n + 5n = -5 + -2n Combine like terms: 3n + 5n = 8n 1 + 8n = -5 + -2n Solving 1 + 8n = -5 + -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. 1 + 8n + 2n = -5 + -2n + 2n Combine like terms: 8n + 2n = 10n 1 + 10n = -5 + -2n + 2n Combine like terms: -2n + 2n = 0 1 + 10n = -5 + 0 1 + 10n = -5 Add '-1' to each side of the equation. 1 + -1 + 10n = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 10n = -5 + -1 10n = -5 + -1 Combine like terms: -5 + -1 = -6 10n = -6 Divide each side by '10'. n = -0.6 Simplifying n = -0.6
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