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Simplifying N + 5(n + -1) = 7(n + 8) Reorder the terms: N + 5(-1 + n) = 7(n + 8) N + (-1 * 5 + n * 5) = 7(n + 8) N + (-5 + 5n) = 7(n + 8) Reorder the terms: -5 + N + 5n = 7(n + 8) Reorder the terms: -5 + N + 5n = 7(8 + n) -5 + N + 5n = (8 * 7 + n * 7) -5 + N + 5n = (56 + 7n) Solving -5 + N + 5n = 56 + 7n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '5' to each side of the equation. -5 + N + 5 + 5n = 56 + 5 + 7n Reorder the terms: -5 + 5 + N + 5n = 56 + 5 + 7n Combine like terms: -5 + 5 = 0 0 + N + 5n = 56 + 5 + 7n N + 5n = 56 + 5 + 7n Combine like terms: 56 + 5 = 61 N + 5n = 61 + 7n Add '-5n' to each side of the equation. N + 5n + -5n = 61 + 7n + -5n Combine like terms: 5n + -5n = 0 N + 0 = 61 + 7n + -5n N = 61 + 7n + -5n Combine like terms: 7n + -5n = 2n N = 61 + 2n Simplifying N = 61 + 2n
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