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Simplifying 3(3n + -3) = (2n + 1) + 5 Reorder the terms: 3(-3 + 3n) = (2n + 1) + 5 (-3 * 3 + 3n * 3) = (2n + 1) + 5 (-9 + 9n) = (2n + 1) + 5 Reorder the terms: -9 + 9n = (1 + 2n) + 5 Remove parenthesis around (1 + 2n) -9 + 9n = 1 + 2n + 5 Reorder the terms: -9 + 9n = 1 + 5 + 2n Combine like terms: 1 + 5 = 6 -9 + 9n = 6 + 2n Solving -9 + 9n = 6 + 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. -9 + 9n + -2n = 6 + 2n + -2n Combine like terms: 9n + -2n = 7n -9 + 7n = 6 + 2n + -2n Combine like terms: 2n + -2n = 0 -9 + 7n = 6 + 0 -9 + 7n = 6 Add '9' to each side of the equation. -9 + 9 + 7n = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 7n = 6 + 9 7n = 6 + 9 Combine like terms: 6 + 9 = 15 7n = 15 Divide each side by '7'. n = 2.142857143 Simplifying n = 2.142857143
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