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Simplifying -3(9n + 1) = -4(-2 + -6n) Reorder the terms: -3(1 + 9n) = -4(-2 + -6n) (1 * -3 + 9n * -3) = -4(-2 + -6n) (-3 + -27n) = -4(-2 + -6n) -3 + -27n = (-2 * -4 + -6n * -4) -3 + -27n = (8 + 24n) Solving -3 + -27n = 8 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -3 + -27n + -24n = 8 + 24n + -24n Combine like terms: -27n + -24n = -51n -3 + -51n = 8 + 24n + -24n Combine like terms: 24n + -24n = 0 -3 + -51n = 8 + 0 -3 + -51n = 8 Add '3' to each side of the equation. -3 + 3 + -51n = 8 + 3 Combine like terms: -3 + 3 = 0 0 + -51n = 8 + 3 -51n = 8 + 3 Combine like terms: 8 + 3 = 11 -51n = 11 Divide each side by '-51'. n = -0.2156862745 Simplifying n = -0.2156862745
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