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Simplifying 5(n + -4) + -1(3 + -7n) = 11n Reorder the terms: 5(-4 + n) + -1(3 + -7n) = 11n (-4 * 5 + n * 5) + -1(3 + -7n) = 11n (-20 + 5n) + -1(3 + -7n) = 11n -20 + 5n + (3 * -1 + -7n * -1) = 11n -20 + 5n + (-3 + 7n) = 11n Reorder the terms: -20 + -3 + 5n + 7n = 11n Combine like terms: -20 + -3 = -23 -23 + 5n + 7n = 11n Combine like terms: 5n + 7n = 12n -23 + 12n = 11n Solving -23 + 12n = 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -23 + 12n + -11n = 11n + -11n Combine like terms: 12n + -11n = 1n -23 + 1n = 11n + -11n Combine like terms: 11n + -11n = 0 -23 + 1n = 0 Add '23' to each side of the equation. -23 + 23 + 1n = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1n = 0 + 23 1n = 0 + 23 Combine like terms: 0 + 23 = 23 1n = 23 Divide each side by '1'. n = 23 Simplifying n = 23
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