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Simplifying 7(3n + -3) = (9n + 7) + 1 Reorder the terms: 7(-3 + 3n) = (9n + 7) + 1 (-3 * 7 + 3n * 7) = (9n + 7) + 1 (-21 + 21n) = (9n + 7) + 1 Reorder the terms: -21 + 21n = (7 + 9n) + 1 Remove parenthesis around (7 + 9n) -21 + 21n = 7 + 9n + 1 Reorder the terms: -21 + 21n = 7 + 1 + 9n Combine like terms: 7 + 1 = 8 -21 + 21n = 8 + 9n Solving -21 + 21n = 8 + 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. -21 + 21n + -9n = 8 + 9n + -9n Combine like terms: 21n + -9n = 12n -21 + 12n = 8 + 9n + -9n Combine like terms: 9n + -9n = 0 -21 + 12n = 8 + 0 -21 + 12n = 8 Add '21' to each side of the equation. -21 + 21 + 12n = 8 + 21 Combine like terms: -21 + 21 = 0 0 + 12n = 8 + 21 12n = 8 + 21 Combine like terms: 8 + 21 = 29 12n = 29 Divide each side by '12'. n = 2.416666667 Simplifying n = 2.416666667
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