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Simplifying N + 8 = 6(-1n + -4) + 7(n + 3) Reorder the terms: 8 + N = 6(-1n + -4) + 7(n + 3) Reorder the terms: 8 + N = 6(-4 + -1n) + 7(n + 3) 8 + N = (-4 * 6 + -1n * 6) + 7(n + 3) 8 + N = (-24 + -6n) + 7(n + 3) Reorder the terms: 8 + N = -24 + -6n + 7(3 + n) 8 + N = -24 + -6n + (3 * 7 + n * 7) 8 + N = -24 + -6n + (21 + 7n) Reorder the terms: 8 + N = -24 + 21 + -6n + 7n Combine like terms: -24 + 21 = -3 8 + N = -3 + -6n + 7n Combine like terms: -6n + 7n = 1n 8 + N = -3 + 1n Solving 8 + N = -3 + 1n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + N = -3 + -8 + 1n Combine like terms: 8 + -8 = 0 0 + N = -3 + -8 + 1n N = -3 + -8 + 1n Combine like terms: -3 + -8 = -11 N = -11 + 1n Simplifying N = -11 + 1n
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