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Simplifying 6(n + 2) + 3(3n + -5) = 57 Reorder the terms: 6(2 + n) + 3(3n + -5) = 57 (2 * 6 + n * 6) + 3(3n + -5) = 57 (12 + 6n) + 3(3n + -5) = 57 Reorder the terms: 12 + 6n + 3(-5 + 3n) = 57 12 + 6n + (-5 * 3 + 3n * 3) = 57 12 + 6n + (-15 + 9n) = 57 Reorder the terms: 12 + -15 + 6n + 9n = 57 Combine like terms: 12 + -15 = -3 -3 + 6n + 9n = 57 Combine like terms: 6n + 9n = 15n -3 + 15n = 57 Solving -3 + 15n = 57 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 15n = 57 + 3 Combine like terms: -3 + 3 = 0 0 + 15n = 57 + 3 15n = 57 + 3 Combine like terms: 57 + 3 = 60 15n = 60 Divide each side by '15'. n = 4 Simplifying n = 4
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