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Simplifying 7(2n + -1) = -31 + 8n Reorder the terms: 7(-1 + 2n) = -31 + 8n (-1 * 7 + 2n * 7) = -31 + 8n (-7 + 14n) = -31 + 8n Solving -7 + 14n = -31 + 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. -7 + 14n + -8n = -31 + 8n + -8n Combine like terms: 14n + -8n = 6n -7 + 6n = -31 + 8n + -8n Combine like terms: 8n + -8n = 0 -7 + 6n = -31 + 0 -7 + 6n = -31 Add '7' to each side of the equation. -7 + 7 + 6n = -31 + 7 Combine like terms: -7 + 7 = 0 0 + 6n = -31 + 7 6n = -31 + 7 Combine like terms: -31 + 7 = -24 6n = -24 Divide each side by '6'. n = -4 Simplifying n = -4
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