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Simplifying 7n + -1(4 + -2n) = 3(n + 5) + 1 7n + (4 * -1 + -2n * -1) = 3(n + 5) + 1 7n + (-4 + 2n) = 3(n + 5) + 1 Reorder the terms: -4 + 7n + 2n = 3(n + 5) + 1 Combine like terms: 7n + 2n = 9n -4 + 9n = 3(n + 5) + 1 Reorder the terms: -4 + 9n = 3(5 + n) + 1 -4 + 9n = (5 * 3 + n * 3) + 1 -4 + 9n = (15 + 3n) + 1 Reorder the terms: -4 + 9n = 15 + 1 + 3n Combine like terms: 15 + 1 = 16 -4 + 9n = 16 + 3n Solving -4 + 9n = 16 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -4 + 9n + -3n = 16 + 3n + -3n Combine like terms: 9n + -3n = 6n -4 + 6n = 16 + 3n + -3n Combine like terms: 3n + -3n = 0 -4 + 6n = 16 + 0 -4 + 6n = 16 Add '4' to each side of the equation. -4 + 4 + 6n = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 6n = 16 + 4 6n = 16 + 4 Combine like terms: 16 + 4 = 20 6n = 20 Divide each side by '6'. n = 3.333333333 Simplifying n = 3.333333333
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