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