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Simplifying 7(3n + -1) = (9n + 8) + 2 Reorder the terms: 7(-1 + 3n) = (9n + 8) + 2 (-1 * 7 + 3n * 7) = (9n + 8) + 2 (-7 + 21n) = (9n + 8) + 2 Reorder the terms: -7 + 21n = (8 + 9n) + 2 Remove parenthesis around (8 + 9n) -7 + 21n = 8 + 9n + 2 Reorder the terms: -7 + 21n = 8 + 2 + 9n Combine like terms: 8 + 2 = 10 -7 + 21n = 10 + 9n Solving -7 + 21n = 10 + 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. -7 + 21n + -9n = 10 + 9n + -9n Combine like terms: 21n + -9n = 12n -7 + 12n = 10 + 9n + -9n Combine like terms: 9n + -9n = 0 -7 + 12n = 10 + 0 -7 + 12n = 10 Add '7' to each side of the equation. -7 + 7 + 12n = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 12n = 10 + 7 12n = 10 + 7 Combine like terms: 10 + 7 = 17 12n = 17 Divide each side by '12'. n = 1.416666667 Simplifying n = 1.416666667
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