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Simplifying -1(6n + 2) = -1(-3 + -7n) + -2n Reorder the terms: -1(2 + 6n) = -1(-3 + -7n) + -2n (2 * -1 + 6n * -1) = -1(-3 + -7n) + -2n (-2 + -6n) = -1(-3 + -7n) + -2n -2 + -6n = (-3 * -1 + -7n * -1) + -2n -2 + -6n = (3 + 7n) + -2n Combine like terms: 7n + -2n = 5n -2 + -6n = 3 + 5n Solving -2 + -6n = 3 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -2 + -6n + -5n = 3 + 5n + -5n Combine like terms: -6n + -5n = -11n -2 + -11n = 3 + 5n + -5n Combine like terms: 5n + -5n = 0 -2 + -11n = 3 + 0 -2 + -11n = 3 Add '2' to each side of the equation. -2 + 2 + -11n = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -11n = 3 + 2 -11n = 3 + 2 Combine like terms: 3 + 2 = 5 -11n = 5 Divide each side by '-11'. n = -0.4545454545 Simplifying n = -0.4545454545
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