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Simplifying N + 6(N + 8) = 83 Reorder the terms: N + 6(8 + N) = 83 N + (8 * 6 + N * 6) = 83 N + (48 + 6N) = 83 Reorder the terms: 48 + N + 6N = 83 Combine like terms: N + 6N = 7N 48 + 7N = 83 Solving 48 + 7N = 83 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 + -48 + 7N = 83 + -48 Combine like terms: 48 + -48 = 0 0 + 7N = 83 + -48 7N = 83 + -48 Combine like terms: 83 + -48 = 35 7N = 35 Divide each side by '7'. N = 5 Simplifying N = 5
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