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Simplifying (N + 2) * 2 + -1(n + -2) * 2 = 8 Reorder the terms: (2 + N) * 2 + -1(n + -2) * 2 = 8 Reorder the terms for easier multiplication: 2(2 + N) + -1(n + -2) * 2 = 8 (2 * 2 + N * 2) + -1(n + -2) * 2 = 8 (4 + 2N) + -1(n + -2) * 2 = 8 Reorder the terms: 4 + 2N + -1(-2 + n) * 2 = 8 Reorder the terms for easier multiplication: 4 + 2N + -1 * 2(-2 + n) = 8 Multiply -1 * 2 4 + 2N + -2(-2 + n) = 8 4 + 2N + (-2 * -2 + n * -2) = 8 4 + 2N + (4 + -2n) = 8 Reorder the terms: 4 + 4 + 2N + -2n = 8 Combine like terms: 4 + 4 = 8 8 + 2N + -2n = 8 Add '-8' to each side of the equation. 8 + 2N + -8 + -2n = 8 + -8 Reorder the terms: 8 + -8 + 2N + -2n = 8 + -8 Combine like terms: 8 + -8 = 0 0 + 2N + -2n = 8 + -8 2N + -2n = 8 + -8 Combine like terms: 8 + -8 = 0 2N + -2n = 0 Solving 2N + -2n = 0 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. 2N + -2n + 2n = 0 + 2n Combine like terms: -2n + 2n = 0 2N + 0 = 0 + 2n 2N = 0 + 2n Remove the zero: 2N = 2n Divide each side by '2'. N = n Simplifying N = n
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