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Simplifying 3(-3n + 2) + 5 = 6(1 + -9n) Reorder the terms: 3(2 + -3n) + 5 = 6(1 + -9n) (2 * 3 + -3n * 3) + 5 = 6(1 + -9n) (6 + -9n) + 5 = 6(1 + -9n) Reorder the terms: 6 + 5 + -9n = 6(1 + -9n) Combine like terms: 6 + 5 = 11 11 + -9n = 6(1 + -9n) 11 + -9n = (1 * 6 + -9n * 6) 11 + -9n = (6 + -54n) Solving 11 + -9n = 6 + -54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '54n' to each side of the equation. 11 + -9n + 54n = 6 + -54n + 54n Combine like terms: -9n + 54n = 45n 11 + 45n = 6 + -54n + 54n Combine like terms: -54n + 54n = 0 11 + 45n = 6 + 0 11 + 45n = 6 Add '-11' to each side of the equation. 11 + -11 + 45n = 6 + -11 Combine like terms: 11 + -11 = 0 0 + 45n = 6 + -11 45n = 6 + -11 Combine like terms: 6 + -11 = -5 45n = -5 Divide each side by '45'. n = -0.1111111111 Simplifying n = -0.1111111111
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