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Simplifying 9(n + -3) = 12(n + -5) Reorder the terms: 9(-3 + n) = 12(n + -5) (-3 * 9 + n * 9) = 12(n + -5) (-27 + 9n) = 12(n + -5) Reorder the terms: -27 + 9n = 12(-5 + n) -27 + 9n = (-5 * 12 + n * 12) -27 + 9n = (-60 + 12n) Solving -27 + 9n = -60 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -27 + 9n + -12n = -60 + 12n + -12n Combine like terms: 9n + -12n = -3n -27 + -3n = -60 + 12n + -12n Combine like terms: 12n + -12n = 0 -27 + -3n = -60 + 0 -27 + -3n = -60 Add '27' to each side of the equation. -27 + 27 + -3n = -60 + 27 Combine like terms: -27 + 27 = 0 0 + -3n = -60 + 27 -3n = -60 + 27 Combine like terms: -60 + 27 = -33 -3n = -33 Divide each side by '-3'. n = 11 Simplifying n = 11
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