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Simplifying n + -4(2 + -3n) = 31 n + (2 * -4 + -3n * -4) = 31 n + (-8 + 12n) = 31 Reorder the terms: -8 + n + 12n = 31 Combine like terms: n + 12n = 13n -8 + 13n = 31 Solving -8 + 13n = 31 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 13n = 31 + 8 Combine like terms: -8 + 8 = 0 0 + 13n = 31 + 8 13n = 31 + 8 Combine like terms: 31 + 8 = 39 13n = 39 Divide each side by '13'. n = 3 Simplifying n = 3
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