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Simplifying -1(2n + -1) + 6(n + 3) = -1(7n + -11) Reorder the terms: -1(-1 + 2n) + 6(n + 3) = -1(7n + -11) (-1 * -1 + 2n * -1) + 6(n + 3) = -1(7n + -11) (1 + -2n) + 6(n + 3) = -1(7n + -11) Reorder the terms: 1 + -2n + 6(3 + n) = -1(7n + -11) 1 + -2n + (3 * 6 + n * 6) = -1(7n + -11) 1 + -2n + (18 + 6n) = -1(7n + -11) Reorder the terms: 1 + 18 + -2n + 6n = -1(7n + -11) Combine like terms: 1 + 18 = 19 19 + -2n + 6n = -1(7n + -11) Combine like terms: -2n + 6n = 4n 19 + 4n = -1(7n + -11) Reorder the terms: 19 + 4n = -1(-11 + 7n) 19 + 4n = (-11 * -1 + 7n * -1) 19 + 4n = (11 + -7n) Solving 19 + 4n = 11 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 19 + 4n + 7n = 11 + -7n + 7n Combine like terms: 4n + 7n = 11n 19 + 11n = 11 + -7n + 7n Combine like terms: -7n + 7n = 0 19 + 11n = 11 + 0 19 + 11n = 11 Add '-19' to each side of the equation. 19 + -19 + 11n = 11 + -19 Combine like terms: 19 + -19 = 0 0 + 11n = 11 + -19 11n = 11 + -19 Combine like terms: 11 + -19 = -8 11n = -8 Divide each side by '11'. n = -0.7272727273 Simplifying n = -0.7272727273
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