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Simplifying 3(n + -7) + 6(n + 7) = 57 Reorder the terms: 3(-7 + n) + 6(n + 7) = 57 (-7 * 3 + n * 3) + 6(n + 7) = 57 (-21 + 3n) + 6(n + 7) = 57 Reorder the terms: -21 + 3n + 6(7 + n) = 57 -21 + 3n + (7 * 6 + n * 6) = 57 -21 + 3n + (42 + 6n) = 57 Reorder the terms: -21 + 42 + 3n + 6n = 57 Combine like terms: -21 + 42 = 21 21 + 3n + 6n = 57 Combine like terms: 3n + 6n = 9n 21 + 9n = 57 Solving 21 + 9n = 57 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 9n = 57 + -21 Combine like terms: 21 + -21 = 0 0 + 9n = 57 + -21 9n = 57 + -21 Combine like terms: 57 + -21 = 36 9n = 36 Divide each side by '9'. n = 4 Simplifying n = 4
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