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Simplifying 3(3n + -2) = (3n + 1) + 1 Reorder the terms: 3(-2 + 3n) = (3n + 1) + 1 (-2 * 3 + 3n * 3) = (3n + 1) + 1 (-6 + 9n) = (3n + 1) + 1 Reorder the terms: -6 + 9n = (1 + 3n) + 1 Remove parenthesis around (1 + 3n) -6 + 9n = 1 + 3n + 1 Reorder the terms: -6 + 9n = 1 + 1 + 3n Combine like terms: 1 + 1 = 2 -6 + 9n = 2 + 3n Solving -6 + 9n = 2 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -6 + 9n + -3n = 2 + 3n + -3n Combine like terms: 9n + -3n = 6n -6 + 6n = 2 + 3n + -3n Combine like terms: 3n + -3n = 0 -6 + 6n = 2 + 0 -6 + 6n = 2 Add '6' to each side of the equation. -6 + 6 + 6n = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 6n = 2 + 6 6n = 2 + 6 Combine like terms: 2 + 6 = 8 6n = 8 Divide each side by '6'. n = 1.333333333 Simplifying n = 1.333333333
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