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Simplifying 2(3n + -1) = (3n + 5) + 7 Reorder the terms: 2(-1 + 3n) = (3n + 5) + 7 (-1 * 2 + 3n * 2) = (3n + 5) + 7 (-2 + 6n) = (3n + 5) + 7 Reorder the terms: -2 + 6n = (5 + 3n) + 7 Remove parenthesis around (5 + 3n) -2 + 6n = 5 + 3n + 7 Reorder the terms: -2 + 6n = 5 + 7 + 3n Combine like terms: 5 + 7 = 12 -2 + 6n = 12 + 3n Solving -2 + 6n = 12 + 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. -2 + 6n + -3n = 12 + 3n + -3n Combine like terms: 6n + -3n = 3n -2 + 3n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -2 + 3n = 12 + 0 -2 + 3n = 12 Add '2' to each side of the equation. -2 + 2 + 3n = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 3n = 12 + 2 3n = 12 + 2 Combine like terms: 12 + 2 = 14 3n = 14 Divide each side by '3'. n = 4.666666667 Simplifying n = 4.666666667
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