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