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Simplifying 3(3n + -3) = (7n + 2) + 5 Reorder the terms: 3(-3 + 3n) = (7n + 2) + 5 (-3 * 3 + 3n * 3) = (7n + 2) + 5 (-9 + 9n) = (7n + 2) + 5 Reorder the terms: -9 + 9n = (2 + 7n) + 5 Remove parenthesis around (2 + 7n) -9 + 9n = 2 + 7n + 5 Reorder the terms: -9 + 9n = 2 + 5 + 7n Combine like terms: 2 + 5 = 7 -9 + 9n = 7 + 7n Solving -9 + 9n = 7 + 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. -9 + 9n + -7n = 7 + 7n + -7n Combine like terms: 9n + -7n = 2n -9 + 2n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 -9 + 2n = 7 + 0 -9 + 2n = 7 Add '9' to each side of the equation. -9 + 9 + 2n = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2n = 7 + 9 2n = 7 + 9 Combine like terms: 7 + 9 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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