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Simplifying -3(-3n + 7) = 31 + -4n Reorder the terms: -3(7 + -3n) = 31 + -4n (7 * -3 + -3n * -3) = 31 + -4n (-21 + 9n) = 31 + -4n Solving -21 + 9n = 31 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -21 + 9n + 4n = 31 + -4n + 4n Combine like terms: 9n + 4n = 13n -21 + 13n = 31 + -4n + 4n Combine like terms: -4n + 4n = 0 -21 + 13n = 31 + 0 -21 + 13n = 31 Add '21' to each side of the equation. -21 + 21 + 13n = 31 + 21 Combine like terms: -21 + 21 = 0 0 + 13n = 31 + 21 13n = 31 + 21 Combine like terms: 31 + 21 = 52 13n = 52 Divide each side by '13'. n = 4 Simplifying n = 4
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