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Simplifying 3(2n + -2) = (3n + 1) + 3 Reorder the terms: 3(-2 + 2n) = (3n + 1) + 3 (-2 * 3 + 2n * 3) = (3n + 1) + 3 (-6 + 6n) = (3n + 1) + 3 Reorder the terms: -6 + 6n = (1 + 3n) + 3 Remove parenthesis around (1 + 3n) -6 + 6n = 1 + 3n + 3 Reorder the terms: -6 + 6n = 1 + 3 + 3n Combine like terms: 1 + 3 = 4 -6 + 6n = 4 + 3n Solving -6 + 6n = 4 + 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 + 6n + -3n = 4 + 3n + -3n Combine like terms: 6n + -3n = 3n -6 + 3n = 4 + 3n + -3n Combine like terms: 3n + -3n = 0 -6 + 3n = 4 + 0 -6 + 3n = 4 Add '6' to each side of the equation. -6 + 6 + 3n = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 3n = 4 + 6 3n = 4 + 6 Combine like terms: 4 + 6 = 10 3n = 10 Divide each side by '3'. n = 3.333333333 Simplifying n = 3.333333333
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