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Simplifying 5(n + -12) = 12(n + -9) Reorder the terms: 5(-12 + n) = 12(n + -9) (-12 * 5 + n * 5) = 12(n + -9) (-60 + 5n) = 12(n + -9) Reorder the terms: -60 + 5n = 12(-9 + n) -60 + 5n = (-9 * 12 + n * 12) -60 + 5n = (-108 + 12n) Solving -60 + 5n = -108 + 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. -60 + 5n + -12n = -108 + 12n + -12n Combine like terms: 5n + -12n = -7n -60 + -7n = -108 + 12n + -12n Combine like terms: 12n + -12n = 0 -60 + -7n = -108 + 0 -60 + -7n = -108 Add '60' to each side of the equation. -60 + 60 + -7n = -108 + 60 Combine like terms: -60 + 60 = 0 0 + -7n = -108 + 60 -7n = -108 + 60 Combine like terms: -108 + 60 = -48 -7n = -48 Divide each side by '-7'. n = 6.857142857 Simplifying n = 6.857142857
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