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Simplifying N + 6(n + 8) = 21 + -2n Reorder the terms: N + 6(8 + n) = 21 + -2n N + (8 * 6 + n * 6) = 21 + -2n N + (48 + 6n) = 21 + -2n Reorder the terms: 48 + N + 6n = 21 + -2n Solving 48 + N + 6n = 21 + -2n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + N + -48 + 6n = 21 + -48 + -2n Reorder the terms: 48 + -48 + N + 6n = 21 + -48 + -2n Combine like terms: 48 + -48 = 0 0 + N + 6n = 21 + -48 + -2n N + 6n = 21 + -48 + -2n Combine like terms: 21 + -48 = -27 N + 6n = -27 + -2n Add '-6n' to each side of the equation. N + 6n + -6n = -27 + -2n + -6n Combine like terms: 6n + -6n = 0 N + 0 = -27 + -2n + -6n N = -27 + -2n + -6n Combine like terms: -2n + -6n = -8n N = -27 + -8n Simplifying N = -27 + -8n
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