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Simplifying (N + -1) + -1(3n + -1) = 1 + -1n Reorder the terms: (-1 + N) + -1(3n + -1) = 1 + -1n Remove parenthesis around (-1 + N) -1 + N + -1(3n + -1) = 1 + -1n Reorder the terms: -1 + N + -1(-1 + 3n) = 1 + -1n -1 + N + (-1 * -1 + 3n * -1) = 1 + -1n -1 + N + (1 + -3n) = 1 + -1n Reorder the terms: -1 + 1 + N + -3n = 1 + -1n Combine like terms: -1 + 1 = 0 0 + N + -3n = 1 + -1n N + -3n = 1 + -1n Solving N + -3n = 1 + -1n 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. N + -3n + 3n = 1 + -1n + 3n Combine like terms: -3n + 3n = 0 N + 0 = 1 + -1n + 3n N = 1 + -1n + 3n Combine like terms: -1n + 3n = 2n N = 1 + 2n Simplifying N = 1 + 2n
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