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Simplifying -2(1 + -6n) = -7(5 + -3n) (1 * -2 + -6n * -2) = -7(5 + -3n) (-2 + 12n) = -7(5 + -3n) -2 + 12n = (5 * -7 + -3n * -7) -2 + 12n = (-35 + 21n) Solving -2 + 12n = -35 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. -2 + 12n + -21n = -35 + 21n + -21n Combine like terms: 12n + -21n = -9n -2 + -9n = -35 + 21n + -21n Combine like terms: 21n + -21n = 0 -2 + -9n = -35 + 0 -2 + -9n = -35 Add '2' to each side of the equation. -2 + 2 + -9n = -35 + 2 Combine like terms: -2 + 2 = 0 0 + -9n = -35 + 2 -9n = -35 + 2 Combine like terms: -35 + 2 = -33 -9n = -33 Divide each side by '-9'. n = 3.666666667 Simplifying n = 3.666666667
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