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Simplifying -7(3n + -7) = -31 + -5n Reorder the terms: -7(-7 + 3n) = -31 + -5n (-7 * -7 + 3n * -7) = -31 + -5n (49 + -21n) = -31 + -5n Solving 49 + -21n = -31 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 49 + -21n + 5n = -31 + -5n + 5n Combine like terms: -21n + 5n = -16n 49 + -16n = -31 + -5n + 5n Combine like terms: -5n + 5n = 0 49 + -16n = -31 + 0 49 + -16n = -31 Add '-49' to each side of the equation. 49 + -49 + -16n = -31 + -49 Combine like terms: 49 + -49 = 0 0 + -16n = -31 + -49 -16n = -31 + -49 Combine like terms: -31 + -49 = -80 -16n = -80 Divide each side by '-16'. n = 5 Simplifying n = 5
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