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Simplifying N + 2(n + 1) + -5(2n + -3) = 8n + -13 Reorder the terms: N + 2(1 + n) + -5(2n + -3) = 8n + -13 N + (1 * 2 + n * 2) + -5(2n + -3) = 8n + -13 N + (2 + 2n) + -5(2n + -3) = 8n + -13 Reorder the terms: N + 2 + 2n + -5(-3 + 2n) = 8n + -13 N + 2 + 2n + (-3 * -5 + 2n * -5) = 8n + -13 N + 2 + 2n + (15 + -10n) = 8n + -13 Reorder the terms: 2 + 15 + N + 2n + -10n = 8n + -13 Combine like terms: 2 + 15 = 17 17 + N + 2n + -10n = 8n + -13 Combine like terms: 2n + -10n = -8n 17 + N + -8n = 8n + -13 Reorder the terms: 17 + N + -8n = -13 + 8n Solving 17 + N + -8n = -13 + 8n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + N + -17 + -8n = -13 + -17 + 8n Reorder the terms: 17 + -17 + N + -8n = -13 + -17 + 8n Combine like terms: 17 + -17 = 0 0 + N + -8n = -13 + -17 + 8n N + -8n = -13 + -17 + 8n Combine like terms: -13 + -17 = -30 N + -8n = -30 + 8n Add '8n' to each side of the equation. N + -8n + 8n = -30 + 8n + 8n Combine like terms: -8n + 8n = 0 N + 0 = -30 + 8n + 8n N = -30 + 8n + 8n Combine like terms: 8n + 8n = 16n N = -30 + 16n Simplifying N = -30 + 16n
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