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Simplifying -9(n + -7) + (3n + -3) = 41 Reorder the terms: -9(-7 + n) + (3n + -3) = 41 (-7 * -9 + n * -9) + (3n + -3) = 41 (63 + -9n) + (3n + -3) = 41 Reorder the terms: 63 + -9n + (-3 + 3n) = 41 Remove parenthesis around (-3 + 3n) 63 + -9n + -3 + 3n = 41 Reorder the terms: 63 + -3 + -9n + 3n = 41 Combine like terms: 63 + -3 = 60 60 + -9n + 3n = 41 Combine like terms: -9n + 3n = -6n 60 + -6n = 41 Solving 60 + -6n = 41 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -6n = 41 + -60 Combine like terms: 60 + -60 = 0 0 + -6n = 41 + -60 -6n = 41 + -60 Combine like terms: 41 + -60 = -19 -6n = -19 Divide each side by '-6'. n = 3.166666667 Simplifying n = 3.166666667
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