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Simplifying 7(3n + -2) = (9n + 5) + 6 Reorder the terms: 7(-2 + 3n) = (9n + 5) + 6 (-2 * 7 + 3n * 7) = (9n + 5) + 6 (-14 + 21n) = (9n + 5) + 6 Reorder the terms: -14 + 21n = (5 + 9n) + 6 Remove parenthesis around (5 + 9n) -14 + 21n = 5 + 9n + 6 Reorder the terms: -14 + 21n = 5 + 6 + 9n Combine like terms: 5 + 6 = 11 -14 + 21n = 11 + 9n Solving -14 + 21n = 11 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -14 + 21n + -9n = 11 + 9n + -9n Combine like terms: 21n + -9n = 12n -14 + 12n = 11 + 9n + -9n Combine like terms: 9n + -9n = 0 -14 + 12n = 11 + 0 -14 + 12n = 11 Add '14' to each side of the equation. -14 + 14 + 12n = 11 + 14 Combine like terms: -14 + 14 = 0 0 + 12n = 11 + 14 12n = 11 + 14 Combine like terms: 11 + 14 = 25 12n = 25 Divide each side by '12'. n = 2.083333333 Simplifying n = 2.083333333
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