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Simplifying N + 4 + -1 = 5(n + -2) + -7(n + -7) Reorder the terms: 4 + -1 + N = 5(n + -2) + -7(n + -7) Combine like terms: 4 + -1 = 3 3 + N = 5(n + -2) + -7(n + -7) Reorder the terms: 3 + N = 5(-2 + n) + -7(n + -7) 3 + N = (-2 * 5 + n * 5) + -7(n + -7) 3 + N = (-10 + 5n) + -7(n + -7) Reorder the terms: 3 + N = -10 + 5n + -7(-7 + n) 3 + N = -10 + 5n + (-7 * -7 + n * -7) 3 + N = -10 + 5n + (49 + -7n) Reorder the terms: 3 + N = -10 + 49 + 5n + -7n Combine like terms: -10 + 49 = 39 3 + N = 39 + 5n + -7n Combine like terms: 5n + -7n = -2n 3 + N = 39 + -2n Solving 3 + N = 39 + -2n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + N = 39 + -3 + -2n Combine like terms: 3 + -3 = 0 0 + N = 39 + -3 + -2n N = 39 + -3 + -2n Combine like terms: 39 + -3 = 36 N = 36 + -2n Simplifying N = 36 + -2n
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