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Simplifying -2(1 + -7n) = 6(3 + 2n) (1 * -2 + -7n * -2) = 6(3 + 2n) (-2 + 14n) = 6(3 + 2n) -2 + 14n = (3 * 6 + 2n * 6) -2 + 14n = (18 + 12n) Solving -2 + 14n = 18 + 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. -2 + 14n + -12n = 18 + 12n + -12n Combine like terms: 14n + -12n = 2n -2 + 2n = 18 + 12n + -12n Combine like terms: 12n + -12n = 0 -2 + 2n = 18 + 0 -2 + 2n = 18 Add '2' to each side of the equation. -2 + 2 + 2n = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 2n = 18 + 2 2n = 18 + 2 Combine like terms: 18 + 2 = 20 2n = 20 Divide each side by '2'. n = 10 Simplifying n = 10
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