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Simplifying 2n + -3(2n + -3) + 2 = 31 Reorder the terms: 2n + -3(-3 + 2n) + 2 = 31 2n + (-3 * -3 + 2n * -3) + 2 = 31 2n + (9 + -6n) + 2 = 31 Reorder the terms: 9 + 2 + 2n + -6n = 31 Combine like terms: 9 + 2 = 11 11 + 2n + -6n = 31 Combine like terms: 2n + -6n = -4n 11 + -4n = 31 Solving 11 + -4n = 31 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4n = 31 + -11 Combine like terms: 11 + -11 = 0 0 + -4n = 31 + -11 -4n = 31 + -11 Combine like terms: 31 + -11 = 20 -4n = 20 Divide each side by '-4'. n = -5 Simplifying n = -5
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