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Simplifying 3(3n + -5) = (2n + 8) + 8 Reorder the terms: 3(-5 + 3n) = (2n + 8) + 8 (-5 * 3 + 3n * 3) = (2n + 8) + 8 (-15 + 9n) = (2n + 8) + 8 Reorder the terms: -15 + 9n = (8 + 2n) + 8 Remove parenthesis around (8 + 2n) -15 + 9n = 8 + 2n + 8 Reorder the terms: -15 + 9n = 8 + 8 + 2n Combine like terms: 8 + 8 = 16 -15 + 9n = 16 + 2n Solving -15 + 9n = 16 + 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. -15 + 9n + -2n = 16 + 2n + -2n Combine like terms: 9n + -2n = 7n -15 + 7n = 16 + 2n + -2n Combine like terms: 2n + -2n = 0 -15 + 7n = 16 + 0 -15 + 7n = 16 Add '15' to each side of the equation. -15 + 15 + 7n = 16 + 15 Combine like terms: -15 + 15 = 0 0 + 7n = 16 + 15 7n = 16 + 15 Combine like terms: 16 + 15 = 31 7n = 31 Divide each side by '7'. n = 4.428571429 Simplifying n = 4.428571429
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