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Simplifying 6(2n + -1) = (6n + 7) + 6 Reorder the terms: 6(-1 + 2n) = (6n + 7) + 6 (-1 * 6 + 2n * 6) = (6n + 7) + 6 (-6 + 12n) = (6n + 7) + 6 Reorder the terms: -6 + 12n = (7 + 6n) + 6 Remove parenthesis around (7 + 6n) -6 + 12n = 7 + 6n + 6 Reorder the terms: -6 + 12n = 7 + 6 + 6n Combine like terms: 7 + 6 = 13 -6 + 12n = 13 + 6n Solving -6 + 12n = 13 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -6 + 12n + -6n = 13 + 6n + -6n Combine like terms: 12n + -6n = 6n -6 + 6n = 13 + 6n + -6n Combine like terms: 6n + -6n = 0 -6 + 6n = 13 + 0 -6 + 6n = 13 Add '6' to each side of the equation. -6 + 6 + 6n = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 6n = 13 + 6 6n = 13 + 6 Combine like terms: 13 + 6 = 19 6n = 19 Divide each side by '6'. n = 3.166666667 Simplifying n = 3.166666667
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