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Simplifying 3(3 + -4n) = -39 + 4n (3 * 3 + -4n * 3) = -39 + 4n (9 + -12n) = -39 + 4n Solving 9 + -12n = -39 + 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. 9 + -12n + -4n = -39 + 4n + -4n Combine like terms: -12n + -4n = -16n 9 + -16n = -39 + 4n + -4n Combine like terms: 4n + -4n = 0 9 + -16n = -39 + 0 9 + -16n = -39 Add '-9' to each side of the equation. 9 + -9 + -16n = -39 + -9 Combine like terms: 9 + -9 = 0 0 + -16n = -39 + -9 -16n = -39 + -9 Combine like terms: -39 + -9 = -48 -16n = -48 Divide each side by '-16'. n = 3 Simplifying n = 3
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