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Simplifying -3(7n + -6) = 31 + -8n Reorder the terms: -3(-6 + 7n) = 31 + -8n (-6 * -3 + 7n * -3) = 31 + -8n (18 + -21n) = 31 + -8n Solving 18 + -21n = 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. 18 + -21n + 8n = 31 + -8n + 8n Combine like terms: -21n + 8n = -13n 18 + -13n = 31 + -8n + 8n Combine like terms: -8n + 8n = 0 18 + -13n = 31 + 0 18 + -13n = 31 Add '-18' to each side of the equation. 18 + -18 + -13n = 31 + -18 Combine like terms: 18 + -18 = 0 0 + -13n = 31 + -18 -13n = 31 + -18 Combine like terms: 31 + -18 = 13 -13n = 13 Divide each side by '-13'. n = -1 Simplifying n = -1
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