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Simplifying 2(3n + -1) + 2n = 31 Reorder the terms: 2(-1 + 3n) + 2n = 31 (-1 * 2 + 3n * 2) + 2n = 31 (-2 + 6n) + 2n = 31 Combine like terms: 6n + 2n = 8n -2 + 8n = 31 Solving -2 + 8n = 31 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8n = 31 + 2 Combine like terms: -2 + 2 = 0 0 + 8n = 31 + 2 8n = 31 + 2 Combine like terms: 31 + 2 = 33 8n = 33 Divide each side by '8'. n = 4.125 Simplifying n = 4.125
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