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Simplifying -1(n + -1) = 5 + -3n Reorder the terms: -1(-1 + n) = 5 + -3n (-1 * -1 + n * -1) = 5 + -3n (1 + -1n) = 5 + -3n Solving 1 + -1n = 5 + -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. 1 + -1n + 3n = 5 + -3n + 3n Combine like terms: -1n + 3n = 2n 1 + 2n = 5 + -3n + 3n Combine like terms: -3n + 3n = 0 1 + 2n = 5 + 0 1 + 2n = 5 Add '-1' to each side of the equation. 1 + -1 + 2n = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 2n = 5 + -1 2n = 5 + -1 Combine like terms: 5 + -1 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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