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Simplifying 2(8n + -5) + -4 = 10 + 8n Reorder the terms: 2(-5 + 8n) + -4 = 10 + 8n (-5 * 2 + 8n * 2) + -4 = 10 + 8n (-10 + 16n) + -4 = 10 + 8n Reorder the terms: -10 + -4 + 16n = 10 + 8n Combine like terms: -10 + -4 = -14 -14 + 16n = 10 + 8n Solving -14 + 16n = 10 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -14 + 16n + -8n = 10 + 8n + -8n Combine like terms: 16n + -8n = 8n -14 + 8n = 10 + 8n + -8n Combine like terms: 8n + -8n = 0 -14 + 8n = 10 + 0 -14 + 8n = 10 Add '14' to each side of the equation. -14 + 14 + 8n = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 8n = 10 + 14 8n = 10 + 14 Combine like terms: 10 + 14 = 24 8n = 24 Divide each side by '8'. n = 3 Simplifying n = 3
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