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Simplifying 7(3n + -3) = 9(n + 1) + 3 Reorder the terms: 7(-3 + 3n) = 9(n + 1) + 3 (-3 * 7 + 3n * 7) = 9(n + 1) + 3 (-21 + 21n) = 9(n + 1) + 3 Reorder the terms: -21 + 21n = 9(1 + n) + 3 -21 + 21n = (1 * 9 + n * 9) + 3 -21 + 21n = (9 + 9n) + 3 Reorder the terms: -21 + 21n = 9 + 3 + 9n Combine like terms: 9 + 3 = 12 -21 + 21n = 12 + 9n Solving -21 + 21n = 12 + 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 = 12 + 9n + -9n Combine like terms: 21n + -9n = 12n -21 + 12n = 12 + 9n + -9n Combine like terms: 9n + -9n = 0 -21 + 12n = 12 + 0 -21 + 12n = 12 Add '21' to each side of the equation. -21 + 21 + 12n = 12 + 21 Combine like terms: -21 + 21 = 0 0 + 12n = 12 + 21 12n = 12 + 21 Combine like terms: 12 + 21 = 33 12n = 33 Divide each side by '12'. n = 2.75 Simplifying n = 2.75
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