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Simplifying N + 1 + -3n = 5 + n + 2 + -2n Reorder the terms: 1 + N + -3n = 5 + n + 2 + -2n Reorder the terms: 1 + N + -3n = 5 + 2 + n + -2n Combine like terms: 5 + 2 = 7 1 + N + -3n = 7 + n + -2n Combine like terms: n + -2n = -1n 1 + N + -3n = 7 + -1n Solving 1 + N + -3n = 7 + -1n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + N + -1 + -3n = 7 + -1 + -1n Reorder the terms: 1 + -1 + N + -3n = 7 + -1 + -1n Combine like terms: 1 + -1 = 0 0 + N + -3n = 7 + -1 + -1n N + -3n = 7 + -1 + -1n Combine like terms: 7 + -1 = 6 N + -3n = 6 + -1n Add '3n' to each side of the equation. N + -3n + 3n = 6 + -1n + 3n Combine like terms: -3n + 3n = 0 N + 0 = 6 + -1n + 3n N = 6 + -1n + 3n Combine like terms: -1n + 3n = 2n N = 6 + 2n Simplifying N = 6 + 2n
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