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Simplifying 3(3n + -1) = (2n + 7) + 4 Reorder the terms: 3(-1 + 3n) = (2n + 7) + 4 (-1 * 3 + 3n * 3) = (2n + 7) + 4 (-3 + 9n) = (2n + 7) + 4 Reorder the terms: -3 + 9n = (7 + 2n) + 4 Remove parenthesis around (7 + 2n) -3 + 9n = 7 + 2n + 4 Reorder the terms: -3 + 9n = 7 + 4 + 2n Combine like terms: 7 + 4 = 11 -3 + 9n = 11 + 2n Solving -3 + 9n = 11 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -3 + 9n + -2n = 11 + 2n + -2n Combine like terms: 9n + -2n = 7n -3 + 7n = 11 + 2n + -2n Combine like terms: 2n + -2n = 0 -3 + 7n = 11 + 0 -3 + 7n = 11 Add '3' to each side of the equation. -3 + 3 + 7n = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 7n = 11 + 3 7n = 11 + 3 Combine like terms: 11 + 3 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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