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Simplifying 4n + (7n + -3) = 9(n + -5) Reorder the terms: 4n + (-3 + 7n) = 9(n + -5) Remove parenthesis around (-3 + 7n) 4n + -3 + 7n = 9(n + -5) Reorder the terms: -3 + 4n + 7n = 9(n + -5) Combine like terms: 4n + 7n = 11n -3 + 11n = 9(n + -5) Reorder the terms: -3 + 11n = 9(-5 + n) -3 + 11n = (-5 * 9 + n * 9) -3 + 11n = (-45 + 9n) Solving -3 + 11n = -45 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -3 + 11n + -9n = -45 + 9n + -9n Combine like terms: 11n + -9n = 2n -3 + 2n = -45 + 9n + -9n Combine like terms: 9n + -9n = 0 -3 + 2n = -45 + 0 -3 + 2n = -45 Add '3' to each side of the equation. -3 + 3 + 2n = -45 + 3 Combine like terms: -3 + 3 = 0 0 + 2n = -45 + 3 2n = -45 + 3 Combine like terms: -45 + 3 = -42 2n = -42 Divide each side by '2'. n = -21 Simplifying n = -21
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