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Simplifying -2n + -7(n + -7) = 31 + -3n Reorder the terms: -2n + -7(-7 + n) = 31 + -3n -2n + (-7 * -7 + n * -7) = 31 + -3n -2n + (49 + -7n) = 31 + -3n Reorder the terms: 49 + -2n + -7n = 31 + -3n Combine like terms: -2n + -7n = -9n 49 + -9n = 31 + -3n Solving 49 + -9n = 31 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 49 + -9n + 3n = 31 + -3n + 3n Combine like terms: -9n + 3n = -6n 49 + -6n = 31 + -3n + 3n Combine like terms: -3n + 3n = 0 49 + -6n = 31 + 0 49 + -6n = 31 Add '-49' to each side of the equation. 49 + -49 + -6n = 31 + -49 Combine like terms: 49 + -49 = 0 0 + -6n = 31 + -49 -6n = 31 + -49 Combine like terms: 31 + -49 = -18 -6n = -18 Divide each side by '-6'. n = 3 Simplifying n = 3
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