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Simplifying 5 + -9n + -40 = 3n + 6 Reorder the terms: 5 + -40 + -9n = 3n + 6 Combine like terms: 5 + -40 = -35 -35 + -9n = 3n + 6 Reorder the terms: -35 + -9n = 6 + 3n Solving -35 + -9n = 6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -35 + -9n + -3n = 6 + 3n + -3n Combine like terms: -9n + -3n = -12n -35 + -12n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 -35 + -12n = 6 + 0 -35 + -12n = 6 Add '35' to each side of the equation. -35 + 35 + -12n = 6 + 35 Combine like terms: -35 + 35 = 0 0 + -12n = 6 + 35 -12n = 6 + 35 Combine like terms: 6 + 35 = 41 -12n = 41 Divide each side by '-12'. n = -3.416666667 Simplifying n = -3.416666667
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