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Simplifying 8n + 5 = -2n + 35 Reorder the terms: 5 + 8n = -2n + 35 Reorder the terms: 5 + 8n = 35 + -2n Solving 5 + 8n = 35 + -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. 5 + 8n + 2n = 35 + -2n + 2n Combine like terms: 8n + 2n = 10n 5 + 10n = 35 + -2n + 2n Combine like terms: -2n + 2n = 0 5 + 10n = 35 + 0 5 + 10n = 35 Add '-5' to each side of the equation. 5 + -5 + 10n = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 10n = 35 + -5 10n = 35 + -5 Combine like terms: 35 + -5 = 30 10n = 30 Divide each side by '10'. n = 3 Simplifying n = 3
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